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Publisher: Elsevier   (Total: 3042 journals)

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Showing 1 - 200 of 3042 Journals sorted alphabetically
AASRI Procedia     Open Access   (Followers: 15)
Academic Pediatrics     Hybrid Journal   (Followers: 20, SJR: 1.402, h-index: 51)
Academic Radiology     Hybrid Journal   (Followers: 17, SJR: 1.008, h-index: 75)
Accident Analysis & Prevention     Partially Free   (Followers: 81, SJR: 1.109, h-index: 94)
Accounting Forum     Hybrid Journal   (Followers: 23, SJR: 0.612, h-index: 27)
Accounting, Organizations and Society     Hybrid Journal   (Followers: 27, SJR: 2.515, h-index: 90)
Achievements in the Life Sciences     Open Access   (Followers: 4)
Acta Anaesthesiologica Taiwanica     Open Access   (Followers: 5, SJR: 0.338, h-index: 19)
Acta Astronautica     Hybrid Journal   (Followers: 327, SJR: 0.726, h-index: 43)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Biomaterialia     Hybrid Journal   (Followers: 25, SJR: 2.02, h-index: 104)
Acta Colombiana de Cuidado Intensivo     Full-text available via subscription  
Acta de Investigación Psicológica     Open Access   (Followers: 2)
Acta Ecologica Sinica     Open Access   (Followers: 8, SJR: 0.172, h-index: 29)
Acta Haematologica Polonica     Free   (SJR: 0.123, h-index: 8)
Acta Histochemica     Hybrid Journal   (Followers: 3, SJR: 0.604, h-index: 38)
Acta Materialia     Hybrid Journal   (Followers: 205, SJR: 3.683, h-index: 202)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5, SJR: 0.615, h-index: 21)
Acta Mechanica Solida Sinica     Full-text available via subscription   (Followers: 9, SJR: 0.442, h-index: 21)
Acta Oecologica     Hybrid Journal   (Followers: 9, SJR: 0.915, h-index: 53)
Acta Otorrinolaringologica (English Edition)     Full-text available via subscription   (Followers: 1)
Acta Otorrinolaringológica Española     Full-text available via subscription   (Followers: 3, SJR: 0.311, h-index: 16)
Acta Pharmaceutica Sinica B     Open Access   (Followers: 2)
Acta Poética     Open Access   (Followers: 4)
Acta Psychologica     Hybrid Journal   (Followers: 23, SJR: 1.365, h-index: 73)
Acta Sociológica     Open Access  
Acta Tropica     Hybrid Journal   (Followers: 6, SJR: 1.059, h-index: 77)
Acta Urológica Portuguesa     Open Access  
Actas Dermo-Sifiliograficas     Full-text available via subscription   (Followers: 4)
Actas Dermo-Sifiliográficas (English Edition)     Full-text available via subscription   (Followers: 3)
Actas Urológicas Españolas     Full-text available via subscription   (Followers: 4, SJR: 0.383, h-index: 19)
Actas Urológicas Españolas (English Edition)     Full-text available via subscription   (Followers: 2)
Actualites Pharmaceutiques     Full-text available via subscription   (Followers: 5, SJR: 0.141, h-index: 3)
Actualites Pharmaceutiques Hospitalieres     Full-text available via subscription   (Followers: 4, SJR: 0.112, h-index: 2)
Acupuncture and Related Therapies     Hybrid Journal   (Followers: 3)
Ad Hoc Networks     Hybrid Journal   (Followers: 11, SJR: 0.967, h-index: 57)
Addictive Behaviors     Hybrid Journal   (Followers: 15, SJR: 1.514, h-index: 92)
Addictive Behaviors Reports     Open Access   (Followers: 5)
Additive Manufacturing     Hybrid Journal   (Followers: 7, SJR: 1.039, h-index: 5)
Additives for Polymers     Full-text available via subscription   (Followers: 20)
Advanced Drug Delivery Reviews     Hybrid Journal   (Followers: 128, SJR: 5.2, h-index: 222)
Advanced Engineering Informatics     Hybrid Journal   (Followers: 11, SJR: 1.265, h-index: 53)
Advanced Powder Technology     Hybrid Journal   (Followers: 16, SJR: 0.739, h-index: 33)
Advances in Accounting     Hybrid Journal   (Followers: 9, SJR: 0.299, h-index: 15)
Advances in Agronomy     Full-text available via subscription   (Followers: 15, SJR: 2.071, h-index: 82)
Advances in Anesthesia     Full-text available via subscription   (Followers: 25, SJR: 0.169, h-index: 4)
Advances in Antiviral Drug Design     Full-text available via subscription   (Followers: 3)
Advances in Applied Mathematics     Full-text available via subscription   (Followers: 6, SJR: 1.054, h-index: 35)
Advances in Applied Mechanics     Full-text available via subscription   (Followers: 10, SJR: 0.801, h-index: 26)
Advances in Applied Microbiology     Full-text available via subscription   (Followers: 20, SJR: 1.286, h-index: 49)
Advances In Atomic, Molecular, and Optical Physics     Full-text available via subscription   (Followers: 16, SJR: 3.31, h-index: 42)
Advances in Biological Regulation     Hybrid Journal   (Followers: 4, SJR: 2.277, h-index: 43)
Advances in Botanical Research     Full-text available via subscription   (Followers: 3, SJR: 0.619, h-index: 48)
Advances in Cancer Research     Full-text available via subscription   (Followers: 25, SJR: 2.215, h-index: 78)
Advances in Carbohydrate Chemistry and Biochemistry     Full-text available via subscription   (Followers: 9, SJR: 0.9, h-index: 30)
Advances in Catalysis     Full-text available via subscription   (Followers: 5, SJR: 2.139, h-index: 42)
Advances in Cellular and Molecular Biology of Membranes and Organelles     Full-text available via subscription   (Followers: 12)
Advances in Chemical Engineering     Full-text available via subscription   (Followers: 24, SJR: 0.183, h-index: 23)
Advances in Child Development and Behavior     Full-text available via subscription   (Followers: 10, SJR: 0.665, h-index: 29)
Advances in Chronic Kidney Disease     Full-text available via subscription   (Followers: 9, SJR: 1.268, h-index: 45)
Advances in Clinical Chemistry     Full-text available via subscription   (Followers: 28, SJR: 0.938, h-index: 33)
Advances in Colloid and Interface Science     Full-text available via subscription   (Followers: 18, SJR: 2.314, h-index: 130)
Advances in Computers     Full-text available via subscription   (Followers: 16, SJR: 0.223, h-index: 22)
Advances in Developmental Biology     Full-text available via subscription   (Followers: 11)
Advances in Digestive Medicine     Open Access   (Followers: 4)
Advances in DNA Sequence-Specific Agents     Full-text available via subscription   (Followers: 5)
Advances in Drug Research     Full-text available via subscription   (Followers: 22)
Advances in Ecological Research     Full-text available via subscription   (Followers: 40, SJR: 3.25, h-index: 43)
Advances in Engineering Software     Hybrid Journal   (Followers: 25, SJR: 0.486, h-index: 10)
Advances in Experimental Biology     Full-text available via subscription   (Followers: 7)
Advances in Experimental Social Psychology     Full-text available via subscription   (Followers: 40, SJR: 5.465, h-index: 64)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 3)
Advances in Fluorine Science     Full-text available via subscription   (Followers: 8)
Advances in Food and Nutrition Research     Full-text available via subscription   (Followers: 48, SJR: 0.674, h-index: 38)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 15)
Advances in Genetics     Full-text available via subscription   (Followers: 15, SJR: 2.558, h-index: 54)
Advances in Genome Biology     Full-text available via subscription   (Followers: 12)
Advances in Geophysics     Full-text available via subscription   (Followers: 6, SJR: 2.325, h-index: 20)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 21, SJR: 0.906, h-index: 24)
Advances in Heterocyclic Chemistry     Full-text available via subscription   (Followers: 8, SJR: 0.497, h-index: 31)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 25)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2, SJR: 0.396, h-index: 27)
Advances in Immunology     Full-text available via subscription   (Followers: 35, SJR: 4.152, h-index: 85)
Advances in Inorganic Chemistry     Full-text available via subscription   (Followers: 9, SJR: 1.132, h-index: 42)
Advances in Insect Physiology     Full-text available via subscription   (Followers: 3, SJR: 1.274, h-index: 27)
Advances in Integrative Medicine     Hybrid Journal   (Followers: 4)
Advances in Intl. Accounting     Full-text available via subscription   (Followers: 4)
Advances in Life Course Research     Hybrid Journal   (Followers: 8, SJR: 0.764, h-index: 15)
Advances in Lipobiology     Full-text available via subscription   (Followers: 2)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 9)
Advances in Marine Biology     Full-text available via subscription   (Followers: 16, SJR: 1.645, h-index: 45)
Advances in Mathematics     Full-text available via subscription   (Followers: 10, SJR: 3.261, h-index: 65)
Advances in Medical Sciences     Hybrid Journal   (Followers: 5, SJR: 0.489, h-index: 25)
Advances in Medicinal Chemistry     Full-text available via subscription   (Followers: 5)
Advances in Microbial Physiology     Full-text available via subscription   (Followers: 4, SJR: 1.44, h-index: 51)
Advances in Molecular and Cell Biology     Full-text available via subscription   (Followers: 22)
Advances in Molecular and Cellular Endocrinology     Full-text available via subscription   (Followers: 10)
Advances in Molecular Toxicology     Full-text available via subscription   (Followers: 7, SJR: 0.324, h-index: 8)
Advances in Nanoporous Materials     Full-text available via subscription   (Followers: 4)
Advances in Oncobiology     Full-text available via subscription   (Followers: 3)
Advances in Organometallic Chemistry     Full-text available via subscription   (Followers: 15, SJR: 2.885, h-index: 45)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7, SJR: 0.148, h-index: 11)
Advances in Parasitology     Full-text available via subscription   (Followers: 7, SJR: 2.37, h-index: 73)
Advances in Pediatrics     Full-text available via subscription   (Followers: 25, SJR: 0.4, h-index: 28)
Advances in Pharmaceutical Sciences     Full-text available via subscription   (Followers: 13)
Advances in Pharmacology     Full-text available via subscription   (Followers: 15, SJR: 1.718, h-index: 58)
Advances in Physical Organic Chemistry     Full-text available via subscription   (Followers: 7, SJR: 0.384, h-index: 26)
Advances in Phytomedicine     Full-text available via subscription  
Advances in Planar Lipid Bilayers and Liposomes     Full-text available via subscription   (Followers: 3, SJR: 0.248, h-index: 11)
Advances in Plant Biochemistry and Molecular Biology     Full-text available via subscription   (Followers: 8)
Advances in Plant Pathology     Full-text available via subscription   (Followers: 5)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Protein Chemistry     Full-text available via subscription   (Followers: 18)
Advances in Protein Chemistry and Structural Biology     Full-text available via subscription   (Followers: 19, SJR: 1.5, h-index: 62)
Advances in Psychology     Full-text available via subscription   (Followers: 59)
Advances in Quantum Chemistry     Full-text available via subscription   (Followers: 5, SJR: 0.478, h-index: 32)
Advances in Radiation Oncology     Open Access  
Advances in Small Animal Medicine and Surgery     Hybrid Journal   (Followers: 2, SJR: 0.1, h-index: 2)
Advances in Space Research     Full-text available via subscription   (Followers: 340, SJR: 0.606, h-index: 65)
Advances in Structural Biology     Full-text available via subscription   (Followers: 8)
Advances in Surgery     Full-text available via subscription   (Followers: 6, SJR: 0.823, h-index: 27)
Advances in the Study of Behavior     Full-text available via subscription   (Followers: 30, SJR: 1.321, h-index: 56)
Advances in Veterinary Medicine     Full-text available via subscription   (Followers: 15)
Advances in Veterinary Science and Comparative Medicine     Full-text available via subscription   (Followers: 13)
Advances in Virus Research     Full-text available via subscription   (Followers: 5, SJR: 1.878, h-index: 68)
Advances in Water Resources     Hybrid Journal   (Followers: 43, SJR: 2.408, h-index: 94)
Aeolian Research     Hybrid Journal   (Followers: 5, SJR: 0.973, h-index: 22)
Aerospace Science and Technology     Hybrid Journal   (Followers: 309, SJR: 0.816, h-index: 49)
AEU - Intl. J. of Electronics and Communications     Hybrid Journal   (Followers: 8, SJR: 0.318, h-index: 36)
African J. of Emergency Medicine     Open Access   (Followers: 5, SJR: 0.344, h-index: 6)
Ageing Research Reviews     Hybrid Journal   (Followers: 8, SJR: 3.289, h-index: 78)
Aggression and Violent Behavior     Hybrid Journal   (Followers: 401, SJR: 1.385, h-index: 72)
Agri Gene     Hybrid Journal  
Agricultural and Forest Meteorology     Hybrid Journal   (Followers: 15, SJR: 2.18, h-index: 116)
Agricultural Systems     Hybrid Journal   (Followers: 30, SJR: 1.275, h-index: 74)
Agricultural Water Management     Hybrid Journal   (Followers: 38, SJR: 1.546, h-index: 79)
Agriculture and Agricultural Science Procedia     Open Access  
Agriculture and Natural Resources     Open Access   (Followers: 1)
Agriculture, Ecosystems & Environment     Hybrid Journal   (Followers: 50, SJR: 1.879, h-index: 120)
Ain Shams Engineering J.     Open Access   (Followers: 5, SJR: 0.434, h-index: 14)
Air Medical J.     Hybrid Journal   (Followers: 5, SJR: 0.234, h-index: 18)
AKCE Intl. J. of Graphs and Combinatorics     Open Access   (SJR: 0.285, h-index: 3)
Alcohol     Hybrid Journal   (Followers: 9, SJR: 0.922, h-index: 66)
Alcoholism and Drug Addiction     Open Access   (Followers: 6)
Alergologia Polska : Polish J. of Allergology     Full-text available via subscription   (Followers: 1)
Alexandria Engineering J.     Open Access   (Followers: 1, SJR: 0.436, h-index: 12)
Alexandria J. of Medicine     Open Access  
Algal Research     Partially Free   (Followers: 8, SJR: 2.05, h-index: 20)
Alkaloids: Chemical and Biological Perspectives     Full-text available via subscription   (Followers: 3)
Allergologia et Immunopathologia     Full-text available via subscription   (Followers: 1, SJR: 0.46, h-index: 29)
Allergology Intl.     Open Access   (Followers: 4, SJR: 0.776, h-index: 35)
ALTER - European J. of Disability Research / Revue Européenne de Recherche sur le Handicap     Full-text available via subscription   (Followers: 7, SJR: 0.158, h-index: 9)
Alzheimer's & Dementia     Hybrid Journal   (Followers: 48, SJR: 4.289, h-index: 64)
Alzheimer's & Dementia: Diagnosis, Assessment & Disease Monitoring     Open Access   (Followers: 5)
Alzheimer's & Dementia: Translational Research & Clinical Interventions     Open Access   (Followers: 3)
American Heart J.     Hybrid Journal   (Followers: 47, SJR: 3.157, h-index: 153)
American J. of Cardiology     Hybrid Journal   (Followers: 43, SJR: 2.063, h-index: 186)
American J. of Emergency Medicine     Hybrid Journal   (Followers: 36, SJR: 0.574, h-index: 65)
American J. of Geriatric Pharmacotherapy     Full-text available via subscription   (Followers: 6, SJR: 1.091, h-index: 45)
American J. of Geriatric Psychiatry     Hybrid Journal   (Followers: 16, SJR: 1.653, h-index: 93)
American J. of Human Genetics     Hybrid Journal   (Followers: 30, SJR: 8.769, h-index: 256)
American J. of Infection Control     Hybrid Journal   (Followers: 24, SJR: 1.259, h-index: 81)
American J. of Kidney Diseases     Hybrid Journal   (Followers: 34, SJR: 2.313, h-index: 172)
American J. of Medicine     Hybrid Journal   (Followers: 46, SJR: 2.023, h-index: 189)
American J. of Medicine Supplements     Full-text available via subscription   (Followers: 3)
American J. of Obstetrics and Gynecology     Hybrid Journal   (Followers: 179, SJR: 2.255, h-index: 171)
American J. of Ophthalmology     Hybrid Journal   (Followers: 55, SJR: 2.803, h-index: 148)
American J. of Ophthalmology Case Reports     Open Access   (Followers: 2)
American J. of Orthodontics and Dentofacial Orthopedics     Full-text available via subscription   (Followers: 6, SJR: 1.249, h-index: 88)
American J. of Otolaryngology     Hybrid Journal   (Followers: 23, SJR: 0.59, h-index: 45)
American J. of Pathology     Hybrid Journal   (Followers: 24, SJR: 2.653, h-index: 228)
American J. of Preventive Medicine     Hybrid Journal   (Followers: 21, SJR: 2.764, h-index: 154)
American J. of Surgery     Hybrid Journal   (Followers: 33, SJR: 1.286, h-index: 125)
American J. of the Medical Sciences     Hybrid Journal   (Followers: 12, SJR: 0.653, h-index: 70)
Ampersand : An Intl. J. of General and Applied Linguistics     Open Access   (Followers: 5)
Anaerobe     Hybrid Journal   (Followers: 4, SJR: 1.066, h-index: 51)
Anaesthesia & Intensive Care Medicine     Full-text available via subscription   (Followers: 55, SJR: 0.124, h-index: 9)
Anaesthesia Critical Care & Pain Medicine     Full-text available via subscription   (Followers: 8)
Anales de Cirugia Vascular     Full-text available via subscription  
Anales de Pediatría     Full-text available via subscription   (Followers: 2, SJR: 0.209, h-index: 27)
Anales de Pediatría (English Edition)     Full-text available via subscription  
Anales de Pediatría Continuada     Full-text available via subscription   (SJR: 0.104, h-index: 3)
Analytic Methods in Accident Research     Hybrid Journal   (Followers: 2, SJR: 2.577, h-index: 7)
Analytica Chimica Acta     Hybrid Journal   (Followers: 38, SJR: 1.548, h-index: 152)
Analytical Biochemistry     Hybrid Journal   (Followers: 157, SJR: 0.725, h-index: 154)
Analytical Chemistry Research     Open Access   (Followers: 8, SJR: 0.18, h-index: 2)
Analytical Spectroscopy Library     Full-text available via subscription   (Followers: 11)
Anesthésie & Réanimation     Full-text available via subscription  
Anesthesiology Clinics     Full-text available via subscription   (Followers: 22, SJR: 0.421, h-index: 40)
Angiología     Full-text available via subscription   (SJR: 0.124, h-index: 9)
Angiologia e Cirurgia Vascular     Open Access  
Animal Behaviour     Hybrid Journal   (Followers: 151, SJR: 1.907, h-index: 126)
Animal Feed Science and Technology     Hybrid Journal   (Followers: 5, SJR: 1.151, h-index: 83)
Animal Reproduction Science     Hybrid Journal   (Followers: 5, SJR: 0.711, h-index: 78)
Annales d'Endocrinologie     Full-text available via subscription   (SJR: 0.394, h-index: 30)
Annales d'Urologie     Full-text available via subscription  
Annales de Cardiologie et d'Angéiologie     Full-text available via subscription   (SJR: 0.177, h-index: 13)
Annales de Chirurgie de la Main et du Membre Supérieur     Full-text available via subscription  
Annales de Chirurgie Plastique Esthétique     Full-text available via subscription   (Followers: 2, SJR: 0.354, h-index: 22)
Annales de Chirurgie Vasculaire     Full-text available via subscription   (Followers: 1)

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Journal Cover Advances in Mathematics
  [SJR: 3.261]   [H-I: 65]   [10 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0001-8708 - ISSN (Online) 1090-2082
   Published by Elsevier Homepage  [3042 journals]
  • Smooth duality in natural characteristic
    • Authors: Jan Kohlhaase
      Pages: 1 - 49
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Jan Kohlhaase
      We develop a duality theory for admissible smooth representations of p-adic Lie groups on vector spaces over fields of characteristic p. To this end we introduce certain higher smooth duality functors and relate our construction to the Auslander duality of completed group rings. We study the behavior of smooth duality under tensor products, inflation and induction, and discuss the dimension theory of smooth mod-p representations of a p-adic reductive group. Finally, we compute the higher smooth duals of the irreducible smooth representations of GL 2 ( Q p ) in characteristic p and relate our results to the contragredient operation of Colmez.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.038
      Issue No: Vol. 317 (2017)
       
  • Geometric representations of the formal affine Hecke algebra
    • Authors: Gufang Zhao; Changlong Zhong
      Pages: 50 - 90
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Gufang Zhao, Changlong Zhong
      For any formal group law, there is a formal affine Hecke algebra defined by Hoffnung–Malagón-López–Savage–Zainoulline. Coming from this formal group law, there is also an oriented cohomology theory. We identify the formal affine Hecke algebra with a convolution algebra coming from the oriented cohomology theory applied to the Steinberg variety. As a consequence, this algebra acts on the corresponding cohomology of the Springer fibers. This generalizes the action of classical affine Hecke algebra on the K-theory of the Springer fibers constructed by Lusztig. We also give a residue interpretation of the formal affine Hecke algebra, which generalizes the residue construction of Ginzburg–Kapranov–Vasserot when the formal group law comes from a 1-dimensional algebraic group.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.03.026
      Issue No: Vol. 317 (2017)
       
  • Injective subsets of l∞(I)
    • Authors: Dominic Descombes; Maël Pavón
      Pages: 91 - 107
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Dominic Descombes, Maël Pavón
      We prove an explicit characterization of all injective subsets of the model space l ∞ ( I ) of all bounded real-valued functions defined on a non-empty set I, endowed with the supremum norm. Since the class of all injective metric spaces coincides with the one of all absolute 1-Lipschitz retracts, the present work yields a characterization of all the subsets of l ∞ ( I ) that are absolute 1-Lipschitz retracts.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.025
      Issue No: Vol. 317 (2017)
       
  • A uniform estimate for general quaternionic Calabi problem (with appendix
           by Daniel Barlet)
    • Authors: Semyon Alesker; Egor Shelukhin
      Pages: 1 - 52
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Semyon Alesker, Egor Shelukhin
      We prove a C 0 a priori estimate on a solution of the quaternionic Calabi problem on an arbitrary compact connected HKT-manifold. This generalizes earlier results [9] and [7] where this result was proven under certain extra assumptions on the manifold.

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.023
      Issue No: Vol. 316 (2017)
       
  • Pointwise decay for the Maxwell field on black hole space–times
    • Authors: Jason Metcalfe; Daniel Tataru; Mihai Tohaneanu
      Pages: 53 - 93
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu
      In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates, as well as a t − 4 rate of decay on compact regions for all the components of the Maxwell tensor.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.05.024
      Issue No: Vol. 316 (2017)
       
  • Non-compact Newton boundary and Whitney equisingularity for non-isolated
           singularities
    • Authors: Christophe Eyral; Mutsuo Oka
      Pages: 94 - 113
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Christophe Eyral, Mutsuo Oka
      In an unpublished lecture note, J. Briançon observed that if { f t } is a family of isolated complex hypersurface singularities such that the Newton boundary of f t is independent of t and f t is non-degenerate, then the corresponding family of hypersurfaces { f t − 1 ( 0 ) } is Whitney equisingular (and hence topologically equisingular). A first generalization of this assertion to families with non-isolated singularities was given by the second author under a rather technical condition. In the present paper, we give a new generalization under a simpler condition.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.003
      Issue No: Vol. 316 (2017)
       
  • C⁎-algebras associated to graphs of groups
    • Authors: Nathan Brownlowe; Alexander Mundey; David Pask; Jack Spielberg; Anne Thomas
      Pages: 114 - 186
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Nathan Brownlowe, Alexander Mundey, David Pask, Jack Spielberg, Anne Thomas
      To a large class of graphs of groups we associate a C ⁎ -algebra universal for generators and relations. We show that this C ⁎ -algebra is stably isomorphic to the crossed product induced from the action of the fundamental group of the graph of groups on the boundary of its Bass–Serre tree. We characterise when this action is minimal, and find a sufficient condition under which it is locally contractive. In the case of generalised Baumslag–Solitar graphs of groups (graphs of groups in which every group is infinite cyclic) we also characterise topological freeness of this action. We are then able to establish a dichotomy for simple C ⁎ -algebras associated to generalised Baumslag–Solitar graphs of groups: they are either a Kirchberg algebra, or a stable Bunce–Deddens algebra.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.05.022
      Issue No: Vol. 316 (2017)
       
  • Generalized Kähler–Ricci flow and the classification of nondegenerate
           generalized Kähler surfaces
    • Authors: Jeffrey Streets
      Pages: 187 - 215
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Jeffrey Streets
      We study the generalized Kähler–Ricci flow on complex surfaces with nondegenerate Poisson structure, proving long time existence and convergence of the flow to a weak hyperKähler structure.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.002
      Issue No: Vol. 316 (2017)
       
  • Quantization and injective submodules of differential operator modules
    • Authors: Charles H. Conley; Dimitar Grantcharov
      Pages: 216 - 254
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Charles H. Conley, Dimitar Grantcharov
      The Lie algebra of vector fields on R m acts naturally on the spaces of differential operators between tensor field modules. Its projective subalgebra is isomorphic to sl m + 1 , and its affine subalgebra is a maximal parabolic subalgebra of the projective subalgebra with Levi factor gl m . We prove two results. First, we realize explicitly all injective objects of the parabolic category O g l m ( sl m + 1 ) of gl m -finite sl m + 1 -modules, as submodules of differential operator modules. Second, we study projective quantizations of differential operator modules, i.e., sl m + 1 -invariant splittings of their order filtrations. In the case of modules of differential operators from a tensor density module to an arbitrary tensor field module, we determine when there exists a unique projective quantization, when there exists no projective quantization, and when there exist multiple projective quantizations.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.001
      Issue No: Vol. 316 (2017)
       
  • Endpoint estimates for one-dimensional oscillator integral operators
    • Authors: Lechao Xiao
      Pages: 255 - 291
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Lechao Xiao
      The one-dimensional oscillatory integral operator associated to a real analytic phase S is given by T λ f ( x ) = ∫ − ∞ ∞ e i λ S ( x , y ) χ ( x , y ) f ( y ) d y . In their fundamental work, Phong and Stein established sharp L 2 estimates for T λ . The goal of this paper is to extend their results to all endpoints. In particular, we obtain a complete characterization for the mapping properties for T λ on L p ( R ) . More precisely, we show that ‖ T λ f ‖ p ≲ λ − α ‖ f ‖ p holds for some α > 0 if and only if ( 1 α p , 1 α p ′ ) lies in the reduced Newton polygon of S.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.007
      Issue No: Vol. 316 (2017)
       
  • Global entropy solutions to weakly nonlinear gas dynamics
    • Authors: Peng Qu; Zhouping Xin
      Pages: 292 - 355
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Peng Qu, Zhouping Xin
      Entropy weak solutions with bounded periodic initial data are considered for the system of weakly nonlinear gas dynamics. Through a modified Glimm scheme, an approximate solution sequence is constructed, and then a priori estimates are provided with the methods of approximate characteristics and approximate conservation laws, which gives not only the existence and uniqueness but also the uniform total variation bounds for the entropy solutions.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.006
      Issue No: Vol. 316 (2017)
       
  • The resolution of the Yang–Mills Plateau problem in super-critical
           dimensions
    • Authors: Mircea Petrache; Tristan Rivière
      Pages: 469 - 540
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Mircea Petrache, Tristan Rivière
      We study the minimization problem for the Yang–Mills energy under fixed boundary connection in supercritical dimension n ≥ 5 . We define the natural function space A G in which to formulate this problem in analogy to the space of integral currents used for the classical Plateau problem. The space A G can be also interpreted as a space of weak connections on a “real measure theoretic version” of reflexive sheaves from complex geometry. We prove the existence of weak solutions to the Yang–Mills Plateau problem in the space A G . We then prove the optimal regularity result for solutions of this Plateau problem. On the way to prove this result we establish a Coulomb gauge extraction theorem for weak curvatures with small Yang–Mills density. This generalizes to the general framework of weak L 2 curvatures previous works of Meyer–Rivière and Tao–Tian in which respectively a strong approximability property and an admissibility property were assumed in addition.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.012
      Issue No: Vol. 316 (2017)
       
  • Lefschetz theorems for torsion algebraic cycles in codimension 2
    • Authors: Deepam Patel; G.V. Ravindra
      Pages: 554 - 575
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Deepam Patel, G.V. Ravindra
      Let Y be a smooth projective variety over C , and X be a smooth hypersurface in Y. We prove that the natural restriction map on Chow groups of codimension two cycles is an isomorphism when restricted to the torsion subgroups provided dim ⁡ Y ≥ 5 . We prove an analogous statement for a very general hypersurface X ⊂ P 4 of degree ≥5. In the more general setting of a very general hypersurface X of sufficiently high degree in a fixed smooth projective four-fold Y, under some additional hypothesis, we prove that the restriction map is an isomorphism on ℓ-primary torsion for almost all primes ℓ. As a consequence, we obtain a weak Lefschetz theorem for torsion in the Griffiths groups of codimension 2 cycles, and prove the injectivity of the Abel–Jacobi map when restricted to torsion in this Griffiths group, thereby providing a partial answer to a question of Nori.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.05.018
      Issue No: Vol. 316 (2017)
       
  • Tannaka duality revisited
    • Authors: Bhargav Bhatt; Daniel Halpern-Leistner
      Pages: 576 - 612
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Bhargav Bhatt, Daniel Halpern-Leistner
      We establish several strengthened versions of Lurie's Tannaka duality theorem for certain classes of spectral algebraic stacks. Our most general version of Tannaka duality identifies maps between stacks with exact symmetric monoidal functors between ∞-categories of quasi-coherent complexes which preserve connective and pseudo-coherent complexes.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2016.08.040
      Issue No: Vol. 316 (2017)
       
  • Universality limits for generalized Jacobi measures
    • Authors: Tivadar Danka
      Pages: 613 - 666
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Tivadar Danka
      In this paper universality limits are studied in connection with measures which exhibit power-type singular behavior somewhere in their support. We extend the results of Lubinsky for Jacobi measures supported on [ − 1 , 1 ] to generalized Jacobi measures supported on a compact subset of the real line, where the singularity can be located in the interior or at an endpoint of the support. The analysis is based upon the Riemann–Hilbert method, Christoffel functions, the polynomial inverse image method of Totik and the normal family approach of Lubinsky.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.026
      Issue No: Vol. 316 (2017)
       
  • Interpolation and extrapolation of strictly singular operators between Lp
           spaces
    • Authors: Francisco L. Hernández; Evgeny M. Semenov; Pedro Tradacete
      Pages: 667 - 690
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Francisco L. Hernández, Evgeny M. Semenov, Pedro Tradacete
      We study the interpolation and extrapolation properties of strictly singular operators between different L p spaces. To this end, the structure of strictly singular non-compact operators between L p − L q spaces is analyzed. Among other things, we clarify the relation between strict singularity and the L-characteristic set of an operator. In particular, Krasnoselskii's interpolation theorem for compact operators is extended to the class of strictly singular operators.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.028
      Issue No: Vol. 316 (2017)
       
  • The structure of the free boundary in the fully nonlinear thin obstacle
           problem
    • Authors: Xavier Ros-Oton; Joaquim Serra
      Pages: 710 - 747
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Xavier Ros-Oton, Joaquim Serra
      We study the regularity of the free boundary in the fully nonlinear thin obstacle problem. Our main result establishes that the free boundary is C 1 near any regular point. This extends to the fully nonlinear setting the celebrated result of Athanasopoulos–Caffarelli–Salsa [1]. The proofs we present here are completely independent from those in [1], and do not rely on any monotonicity formula. Furthermore, an interesting and novel feature of our proofs is that we establish the regularity of the free boundary without classifying blow-ups, a priori they could be non-homogeneous and/or non-unique. We do not classify blow-ups but only prove that they are 1D on { x n = 0 } .

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.032
      Issue No: Vol. 316 (2017)
       
  • Cartan subalgebras and the UCT problem
    • Authors: Selçuk Barlak; Xin Li
      Pages: 748 - 769
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Selçuk Barlak, Xin Li
      We show that a separable, nuclear C*-algebra satisfies the UCT if it has a Cartan subalgebra. Furthermore, we prove that the UCT is closed under crossed products by group actions which respect Cartan subalgebras. This observation allows us to deduce, among other things, that a crossed product O 2 ⋊ α Z p satisfies the UCT if there is some automorphism γ of O 2 with the property that γ ( D 2 ) ⊆ O 2 ⋊ α Z p is regular, where D 2 denotes the canonical masa of O 2 . We prove that this condition is automatic if γ ( D 2 ) ⊆ O 2 ⋊ α Z p is not a masa or α ( γ ( D 2 ) ) is inner conjugate to γ ( D 2 ) . Finally, we relate the UCT problem for separable, nuclear, M 2 ∞ -absorbing C*-algebras to Cartan subalgebras and order two automorphisms of O 2 .

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.024
      Issue No: Vol. 316 (2017)
       
  • Relative Chow stability and extremal metrics
    • Authors: Reza Seyyedali
      Pages: 770 - 805
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Reza Seyyedali
      We prove that the existence of extremal metrics implies asymptotically relative Chow stability. An application of this is the uniqueness, up to automorphisms, of extremal metrics in any polarization.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.031
      Issue No: Vol. 316 (2017)
       
  • Centro-affine tensor valuations
    • Authors: Christoph Haberl; Lukas Parapatits
      Pages: 806 - 865
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Christoph Haberl, Lukas Parapatits
      All measurable SL ( n ) -covariant symmetric tensor valuations on convex polytopes containing the origin in their interiors are completely classified. It is shown that essentially the only examples of such valuations are the moment tensor and a tensor derived from L p surface area measures. This generalizes and unifies earlier results for the scalar, vector and matrix valued case.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.030
      Issue No: Vol. 316 (2017)
       
  • Fourier quasicrystals and discreteness of the diffraction spectrum
    • Authors: Nir Lev; Alexander Olevskii
      Pages: 1 - 26
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Nir Lev, Alexander Olevskii
      We prove that a positive-definite measure in R n with uniformly discrete support and discrete closed spectrum, is representable as a finite linear combination of Dirac combs, translated and modulated. This extends our recent results where we proved this under the assumption that also the spectrum is uniformly discrete. As an application we obtain that Hof's quasicrystals with uniformly discrete diffraction spectra must have a periodic diffraction structure.

      PubDate: 2017-05-31T04:59:10Z
      DOI: 10.1016/j.aim.2017.05.015
      Issue No: Vol. 315 (2017)
       
  • Variations of Hodge structure and orbits in flag varieties
    • Authors: Matt Kerr; Colleen Robles
      Pages: 27 - 87
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Matt Kerr, Colleen Robles
      Period domains, the classifying spaces for (pure, polarized) Hodge structures, and more generally Mumford–Tate domains, arise as open G R -orbits in flag varieties G / P . We investigate Hodge-theoretic aspects of the geometry and representation theory associated with these flag varieties. In particular, we relate the Griffiths–Yukawa coupling to the variety of lines on G / P (under a minimal homogeneous embedding), construct a large class of polarized G R -orbits in G / P , and compute the associated Hodge-theoretic boundary components. An emphasis is placed throughout on adjoint flag varieties and the corresponding families of Hodge structures of levels two and four.

      PubDate: 2017-05-31T04:59:10Z
      DOI: 10.1016/j.aim.2017.05.013
      Issue No: Vol. 315 (2017)
       
  • Representations of the parafermion vertex operator algebras
    • Authors: Chongying Dong; Li Ren
      Pages: 88 - 101
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Chongying Dong, Li Ren
      The rationality of the parafermion vertex operator algebra K ( g , k ) associated to any finite dimensional simple Lie algebra g and any nonnegative integer k is established and the irreducible modules are determined.

      PubDate: 2017-06-05T14:48:41Z
      DOI: 10.1016/j.aim.2017.05.016
      Issue No: Vol. 315 (2017)
       
  • Finite reflection groups and graph norms
    • Authors: David Conlon; Joonkyung Lee
      Pages: 130 - 165
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): David Conlon, Joonkyung Lee
      Given a graph H on vertex set { 1 , 2 , ⋯ , n } and a function f : [ 0 , 1 ] 2 → R , define ‖ f ‖ H : = ∫ ∏ i j ∈ E ( H ) f ( x i , x j ) d μ V ( H ) 1 / E ( H ) , where μ is the Lebesgue measure on [ 0 , 1 ] . We say that H is norming if ‖ ⋅ ‖ H is a semi-norm. A similar notion ‖ ⋅ ‖ r ( H ) is defined by ‖ f ‖ r ( H ) : = ‖ f ‖ H and H is said to be weakly norming if ‖ ⋅ ‖ r ( H ) is a norm. Classical results show that weakly norming graphs are necessarily bipartite. In the other direction, Hatami showed that even cycles, complete bipartite graphs, and hypercubes are all weakly norming. We demonstrate that any graph whose edges percolate in an appropriate way under the action of a certain natural family of automorphisms is weakly norming. This result includes all previously known examples of weakly norming graphs, but also allows us to identify a much broader class arising from finite reflection groups. We include several applications of our results. In particular, we define and compare a number of generalisations of Gowers' octahedral norms and we prove some new instances of Sidorenko's conjecture.

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.009
      Issue No: Vol. 315 (2017)
       
  • The spectral estimates for the Neumann–Laplace operator in space
           domains
    • Authors: V. Gol'dshtein; A. Ukhlov
      Pages: 166 - 193
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): V. Gol'dshtein, A. Ukhlov
      In this paper we prove discreteness of the spectrum of the Neumann–Laplacian (the free membrane problem) in a large class of non-convex space domains. The lower estimates of the first non-trivial Neumann eigenvalue are obtained in terms of geometric characteristics of Sobolev mappings. The suggested approach is based on Sobolev–Poincaré inequalities that are obtained with the help of a geometric theory of composition operators on Sobolev spaces. These composition operators are induced by generalizations of conformal mappings that are called as mappings of bounded 2-distortion (weak 2-quasiconformal mappings).

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.005
      Issue No: Vol. 315 (2017)
       
  • All SL2-tilings come from infinite triangulations
    • Authors: Christine Bessenrodt; Thorsten Holm; Peter Jørgensen
      Pages: 194 - 245
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Christine Bessenrodt, Thorsten Holm, Peter Jørgensen
      An SL 2 -tiling is a bi-infinite matrix of positive integers such that each adjacent 2 × 2 -submatrix has determinant 1. Such tilings are infinite analogues of Conway–Coxeter friezes, and they have strong links to cluster algebras, combinatorics, mathematical physics, and representation theory. We show that, by means of so-called Conway–Coxeter counting, every SL 2 -tiling arises from a triangulation of the disc with two, three or four accumulation points. This improves earlier results which only discovered SL 2 -tilings with infinitely many entries equal to 1. Indeed, our methods show that there are large classes of tilings with only finitely many entries equal to 1, including a class of tilings with no 1's at all. In the latter case, we show that the minimal entry of a tiling is unique.

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.019
      Issue No: Vol. 315 (2017)
       
  • Local equations for equivariant evolutionary models
    • Authors: Marta Casanellas; Jesús Fernández-Sánchez; Mateusz Michałek
      Pages: 285 - 323
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Marta Casanellas, Jesús Fernández-Sánchez, Mateusz Michałek
      Phylogenetic varieties related to equivariant substitution models have been studied largely in the last years. One of the main objectives has been finding a set of generators of the ideal of these varieties, but this has not yet been achieved in some cases (for example, for the general Markov model this involves the open “salmon conjecture”, see [2]) and it is not clear how to use all generators in practice. Motivated by applications in biology, we tackle the problem from another point of view. The elements of the ideal that could be useful for applications in phylogenetics only need to describe the variety around certain points of no evolution (see [13]). We produce a collection of explicit equations that describe the variety on a Zariski open neighborhood of these points (see Theorem 5.4). Namely, for any tree T on any number of leaves (and any degrees at the interior nodes) and for any equivariant model on any set of states κ, we compute the codimension of the corresponding phylogenetic variety. We prove that this variety is smooth at general points of no evolution and, if a mild technical condition is satisfied (“d-claw tree hypothesis”), we provide an algorithm to produce a complete intersection that describes the variety around these points.

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.003
      Issue No: Vol. 315 (2017)
       
  • Diagonally and antidiagonally symmetric alternating sign matrices of odd
           order
    • Authors: Roger E. Behrend; Ilse Fischer; Matjaž Konvalinka
      Pages: 324 - 365
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Roger E. Behrend, Ilse Fischer, Matjaž Konvalinka
      We study the enumeration of diagonally and antidiagonally symmetric alternating sign matrices (DASASMs) of fixed odd order by introducing a case of the six-vertex model whose configurations are in bijection with such matrices. The model involves a grid graph on a triangle, with bulk and boundary weights which satisfy the Yang–Baxter and reflection equations. We obtain a general expression for the partition function of this model as a sum of two determinantal terms, and show that at a certain point each of these terms reduces to a Schur function. We are then able to prove a conjecture of Robbins from the mid 1980's that the total number of ( 2 n + 1 ) × ( 2 n + 1 ) DASASMs is ∏ i = 0 n ( 3 i ) ! ( n + i ) ! , and a conjecture of Stroganov from 2008 that the ratio between the numbers of ( 2 n + 1 ) × ( 2 n + 1 ) DASASMs with central entry −1 and 1 is n / ( n + 1 ) . Among the several product formulae for the enumeration of symmetric alternating sign matrices which were conjectured in the 1980's, that for odd-order DASASMs is the last to have been proved.

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.014
      Issue No: Vol. 315 (2017)
       
  • Concordance homomorphisms from knot Floer homology
    • Authors: Peter S. Ozsváth; András I. Stipsicz; Zoltán Szabó
      Pages: 366 - 426
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Peter S. Ozsváth, András I. Stipsicz, Zoltán Szabó
      We modify the construction of knot Floer homology to produce a one-parameter family of homologies tHFK for knots in S 3 . These invariants can be used to give homomorphisms from the smooth concordance group C to Z , giving bounds on the four-ball genus and the concordance genus of knots. We give some applications of these homomorphisms.

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.017
      Issue No: Vol. 315 (2017)
       
  • Holonomy limits of complex projective structures
    • Authors: David Dumas
      Pages: 427 - 473
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): David Dumas
      We study the limits of holonomy representations of complex projective structures on a compact Riemann surface in the Morgan–Shalen compactification of the character variety. We show that the dual R -trees of the quadratic differentials associated to a divergent sequence of projective structures determine the Morgan–Shalen limit points up to a natural folding operation. For quadratic differentials with simple zeros, no folding is possible and the limit of holonomy representations is isometric to the dual tree. We also derive an estimate for the growth rate of the holonomy map in terms of a norm on the space of quadratic differentials.

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.021
      Issue No: Vol. 315 (2017)
       
  • Orientability for gauge theories on Calabi–Yau manifolds
    • Authors: Yalong Cao; Naichung Conan Leung
      Pages: 48 - 70
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Yalong Cao, Naichung Conan Leung
      We study orientability issues of moduli spaces from gauge theories on Calabi–Yau manifolds. Our results generalize and strengthen those for Donaldson–Thomas theory on Calabi–Yau manifolds of dimensions 3 and 4. We also prove a corresponding result in the relative situation which is relevant to the gluing formula in DT theory.

      PubDate: 2017-05-11T03:48:10Z
      DOI: 10.1016/j.aim.2017.04.030
      Issue No: Vol. 314 (2017)
       
  • Superconformal minimal models and admissible Jack polynomials
    • Authors: Olivier Blondeau-Fournier; Pierre Mathieu; David Ridout; Simon Wood
      Pages: 71 - 123
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Olivier Blondeau-Fournier, Pierre Mathieu, David Ridout, Simon Wood
      We give new proofs of the rationality of the N = 1 superconformal minimal model vertex operator superalgebras and of the classification of their modules in both the Neveu–Schwarz and Ramond sectors. For this, we combine the standard free field realisation with the theory of Jack symmetric functions. A key role is played by Jack symmetric polynomials with a certain negative parameter that are labelled by admissible partitions. These polynomials are shown to describe free fermion correlators, suitably dressed by a symmetrising factor. The classification proofs concentrate on explicitly identifying Zhu's algebra and its twisted analogue. Interestingly, these identifications do not use an explicit expression for the non-trivial vacuum singular vector. While the latter is known to be expressible in terms of an Uglov symmetric polynomial or a linear combination of Jack superpolynomials, it turns out that standard Jack polynomials (and functions) suffice to prove the classification.

      PubDate: 2017-05-11T03:48:10Z
      DOI: 10.1016/j.aim.2017.04.026
      Issue No: Vol. 314 (2017)
       
  • Uniform approximation of Bloch functions and the boundedness of the
           integration operator on H∞
    • Authors: Wayne Smith; Dmitriy M. Stolyarov; Alexander Volberg
      Pages: 185 - 202
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Wayne Smith, Dmitriy M. Stolyarov, Alexander Volberg
      We obtain a necessary and sufficient condition for the operator of integration to be bounded on H ∞ in a simply connected domain. The main ingredient of the proof is a new result on uniform approximation of Bloch functions.

      PubDate: 2017-06-09T14:58:03Z
      DOI: 10.1016/j.aim.2017.04.028
      Issue No: Vol. 314 (2017)
       
  • Higher rank partial and false theta functions and representation theory
    • Authors: Thomas Creutzig; Antun Milas
      Pages: 203 - 227
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Thomas Creutzig, Antun Milas
      We study higher rank Jacobi partial and false theta functions (generalizations of the classical partial and false theta functions) associated to positive definite rational lattices. In particular, we focus our attention on certain Kostant's partial theta functions coming from ADE root lattices, which are then linked to representation theory of W-algebras. We derive modular transformation properties of regularized higher rank partial and false theta functions as well as Kostant's version of these. Modulo conjectures in representation theory, as an application, we compute regularized quantum dimensions of atypical and typical modules of “narrow” logarithmic W-algebras associated to rescaled root lattices. This paper substantially generalize our previous work [19] pertaining to ( 1 , p ) -singlet W-algebras (the sl 2 case). Results in this paper are very general and are applicable in a variety of situations.

      PubDate: 2017-06-09T14:58:03Z
      DOI: 10.1016/j.aim.2017.04.027
      Issue No: Vol. 314 (2017)
       
  • Tensor triangular geometry for classical Lie superalgebras
    • Authors: Brian D. Boe; Jonathan R. Kujawa; Daniel K. Nakano
      Pages: 228 - 277
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Brian D. Boe, Jonathan R. Kujawa, Daniel K. Nakano
      Tensor triangular geometry as introduced by Balmer [3] is a powerful idea which can be used to extract the ambient geometry from a given tensor triangulated category. In this paper we provide a general setting for a compactly generated tensor triangulated category which enables one to classify thick tensor ideals and the Balmer spectrum. For the general linear Lie superalgebra g = g 0 ¯ ⊕ g 1 ¯ we construct a Zariski space from a detecting subalgebra of g and demonstrate that this topological space governs the tensor triangular geometry for the category of finite dimensional g -modules which are semisimple over g 0 ¯ .

      PubDate: 2017-06-09T14:58:03Z
      DOI: 10.1016/j.aim.2017.04.022
      Issue No: Vol. 314 (2017)
       
  • Closed Willmore minimal hypersurfaces with constant scalar curvature in
           S5(1) are isoparametric
    • Authors: Qintao Deng; Huiling Gu; Qiaoyu Wei
      Pages: 278 - 305
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Qintao Deng, Huiling Gu, Qiaoyu Wei
      In this paper, we will prove that any closed minimal Willmore hypersurface M 4 of S 5 with constant scalar curvature must be isoparametric. To be precise, M 4 is either an equatorial 4 sphere, a product of sphere S 2 ( 2 2 ) × S 2 ( 2 2 ) or a Cartan's minimal hypersurface. In particular, the value of the second fundamental form S can only be 0, 4, 12. This result strongly supports Chern's Conjecture.

      PubDate: 2017-06-09T14:58:03Z
      DOI: 10.1016/j.aim.2017.05.002
      Issue No: Vol. 314 (2017)
       
  • The structure of the inverse system of Gorenstein k-algebras
    • Authors: J. Elias; M.E. Rossi
      Pages: 306 - 327
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): J. Elias, M.E. Rossi
      Macaulay's Inverse System gives an effective method to construct Artinian Gorenstein k-algebras. To date a general structure for Gorenstein k-algebras of any dimension (and codimension) is not understood. In this paper we extend Macaulay's correspondence characterizing the submodules of the divided power ring in one-to-one correspondence with Gorenstein d-dimensional k-algebras. We discuss effective methods for constructing Gorenstein graded rings. Several examples illustrating our results are given.

      PubDate: 2017-06-09T14:58:03Z
      DOI: 10.1016/j.aim.2017.04.025
      Issue No: Vol. 314 (2017)
       
  • The porous medium equation on Riemannian manifolds with negative
           curvature. The large-time behaviour
    • Authors: Gabriele Grillo; Matteo Muratori; Juan Luis Vázquez
      Pages: 328 - 377
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Gabriele Grillo, Matteo Muratori, Juan Luis Vázquez
      We consider nonnegative solutions of the porous medium equation (PME) on Cartan–Hadamard manifolds whose negative curvature can be unbounded. We take compactly supported initial data because we are also interested in free boundaries. We classify the geometrical cases we study into quasi-hyperbolic, quasi-Euclidean and critical cases, depending on the growth rate of the curvature at infinity. We prove sharp upper and lower bounds on the long-time behaviour of the solutions in terms of corresponding bounds on the curvature. In particular we estimate the location of the free boundary. A global Harnack principle follows. We also present a change of variables that allows to transform radially symmetric solutions of the PME on model manifolds into radially symmetric solutions of a corresponding weighted PME on Euclidean space and back. This equivalence turns out to be an important tool of the theory.

      PubDate: 2017-06-09T14:58:03Z
      DOI: 10.1016/j.aim.2017.04.023
      Issue No: Vol. 314 (2017)
       
  • Configuration spaces and polyhedral products
    • Authors: Piotr Beben; Jelena Grbić
      Pages: 378 - 425
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Piotr Beben, Jelena Grbić
      This paper aims to find the most general combinatorial conditions under which a moment–angle complex ( D 2 , S 1 ) K is a co-H-space, thus splitting unstably in terms of its full subcomplexes. In this way we study to which extent the conjecture holds that a moment–angle complex over a Golod simplicial complex is a co-H-space. Our main tool is a certain generalisation of the theory of labelled configuration spaces.

      PubDate: 2017-06-09T14:58:03Z
      DOI: 10.1016/j.aim.2017.05.001
      Issue No: Vol. 314 (2017)
       
  • Supports of representations of the rational Cherednik algebra of type A
    • Authors: Stewart Wilcox
      Pages: 426 - 492
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Stewart Wilcox
      We first consider the rational Cherednik algebra corresponding to the action of a finite group on a complex variety, as defined by Etingof. We define a category of representations of this algebra which is analogous to “category O ” for the rational Cherednik algebra of a vector space. We generalise to this setting Bezrukavnikov and Etingof's results about the possible support sets of such representations. Then we focus on the case of S n acting on C n , determining which irreducible modules in this category have which support sets. We also show that the category of representations with a given support, modulo those with smaller support, is equivalent to the category of finite dimensional representations of a certain Hecke algebra.

      PubDate: 2017-06-09T14:58:03Z
      DOI: 10.1016/j.aim.2017.04.031
      Issue No: Vol. 314 (2017)
       
  • A proof of the Cp′-regularity conjecture in the plane
    • Authors: Eduardo Teixeira; Miguel Urbano
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Damião J. Araújo, Eduardo V. Teixeira, José Miguel Urbano
      We establish a new oscillation estimate for solutions of nonlinear partial differential equations of elliptic, degenerate type. This new tool yields a precise control on the growth rate of solutions near their set of critical points, where ellipticity degenerates. As a consequence, we are able to prove the planar counterpart of the longstanding conjecture that solutions of the degenerate p-Poisson equation with a bounded source are locally of class C p ′ = C 1 , 1 p − 1 ; this regularity is optimal.

      PubDate: 2017-07-07T14:44:21Z
       
  • Sets of large dimension not containing polynomial configurations
    • Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): András Máthé
      The main result of this paper is the following. Given countably many multivariate polynomials with rational coefficients and maximum degree d, we construct a compact set E ⊂ R n of Hausdorff dimension n / d which does not contain finite point configurations corresponding to the zero sets of the given polynomials. Given a set E ⊂ R n , we study the angles determined by three-point subsets of E. The main result implies the existence of a compact set in R n of Hausdorff dimension n / 2 which does not contain the angle π / 2 . (This is known to be sharp if n is even.) We show that there is a compact set of Hausdorff dimension n / 8 which does not contain an angle in any given countable set. We also construct a compact set E ⊂ R n of Hausdorff dimension n / 6 for which the set of angles determined by E is Lebesgue null. In the other direction, we present a result that every set of sufficiently large dimension contains an angle ε close to any given angle. The main result can also be applied to distance sets. As a corollary we obtain a compact set E ⊂ R n ( n ≥ 2 ) of Hausdorff dimension n / 2 which does not contain rational distances nor collinear points, for which the distance set is Lebesgue null, moreover, every distance and direction is realised only at most once by E.

      PubDate: 2017-07-07T14:44:21Z
       
  • Inverse anisotropic mean curvature flow and a Minkowski type inequality
    • Authors: Chao Xia
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Chao Xia
      In this paper, we show that the inverse anisotropic mean curvature flow in R n + 1 , initiating from a star-shaped, strictly F-mean convex hypersurface, exists for all time and after rescaling the flow converges exponentially fast to a rescaled Wulff shape in the C ∞ topology. As an application, we prove a Minkowski type inequality for star-shaped, F-mean convex hypersurfaces.

      PubDate: 2017-06-14T15:22:11Z
       
  • On the set of wild points of attracting surfaces in R3
    • Authors: J.J.
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): J.J. Sánchez-Gabites
      Suppose that a closed surface S ⊆ R 3 is an attractor, not necessarily global, for a discrete dynamical system. Assuming that its set of wild points W is totally disconnected, we prove that (up to an ambient homeomorphism) it has to be contained in a straight line. As a corollary we show that there exist uncountably many different 2-spheres in R 3 none of which can be realized as an attractor for a homeomorphism. Our techniques hinge on a quantity r ( K ) that can be defined for any compact set K ⊆ R 3 and is related to “how wildly” it sits in R 3 . We establish the topological results that (i) r ( W ) ≤ r ( S ) and (ii) any totally disconnected set having a finite r must be contained in a straight line (up to an ambient homeomorphism). The main result follows from these and the fact that attractors have a finite r.

      PubDate: 2017-06-14T15:22:11Z
       
  • Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry
    • Authors: Ugo Boscain; Robert Neel Luca Rizzi
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Ugo Boscain, Robert Neel, Luca Rizzi
      On a sub-Riemannian manifold we define two types of Laplacians. The macroscopic Laplacian Δ ω , as the divergence of the horizontal gradient, once a volume ω is fixed, and the microscopic Laplacian, as the operator associated with a sequence of geodesic random walks. We consider a general class of random walks, where all sub-Riemannian geodesics are taken in account. This operator depends only on the choice of a complement c to the sub-Riemannian distribution, and is denoted by L c . We address the problem of equivalence of the two operators. This problem is interesting since, on equiregular sub-Riemannian manifolds, there is always an intrinsic volume (e.g. Popp's one P ) but not a canonical choice of complement. The result depends heavily on the type of structure under investigation: • On contact structures, for every volume ω, there exists a unique complement c such that Δ ω = L c . • On Carnot groups, if H is the Haar volume, then there always exists a complement c such that Δ H = L c . However this complement is not unique in general. • For quasi-contact structures, in general, Δ P ≠ L c for any choice of c. In particular, L c is not symmetric with respect to Popp's measure. This is surprising especially in dimension 4 where, in a suitable sense, Δ P is the unique intrinsic macroscopic Laplacian. A crucial notion that we introduce here is the N-intrinsic volume, i.e. a volume that depends only on the set of parameters of the nilpotent approximation. When the nilpotent approximation does not depend on the point, a N-intrinsic volume is unique up to a scaling by a constant and the corresponding N-intrinsic sub-Laplacian is unique. This is what happens for dimension less than or equal to 4, and in particular in the 4-dimensional quasi-contact structure mentioned above. Finally, we prove a general theorem on the convergence of families of random walks to a diffusion, that gives, in particular, the convergence of the random walks mentioned above to the diffusion generated by L c .

      PubDate: 2017-06-09T14:58:03Z
       
  • Quantitative stability for the Brunn–Minkowski inequality
    • Authors: Alessio Figalli; David Jerison
      Abstract: Publication date: 9 July 2017
      Source:Advances in Mathematics, Volume 314
      Author(s): Alessio Figalli, David Jerison
      We prove a quantitative stability result for the Brunn–Minkowski inequality: if A = B = 1 , t ∈ [ τ , 1 − τ ] with τ > 0 , and t A + ( 1 − t ) B 1 / n ≤ 1 + δ for some small δ, then, up to a translation, both A and B are quantitatively close (in terms of δ) to a convex set K .

      PubDate: 2017-05-06T02:41:54Z
       
 
 
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