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  Subjects -> MATHEMATICS (Total: 1040 journals)
    - APPLIED MATHEMATICS (83 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (770 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (23 journals)
    - PROBABILITIES AND MATH STATISTICS (98 journals)

MATHEMATICS (770 journals)            First | 1 2 3 4     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Humanistic Mathematics     Open Access   (Followers: 1)
Journal of Hyperbolic Differential Equations     Hybrid Journal  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Journal of Inequalities and Applications     Open Access  
Journal of Infrared, Millimeter and Terahertz Waves     Hybrid Journal   (Followers: 2)
Journal of Integrable Systems     Open Access   (Followers: 1)
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 4)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 2)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 7)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 9)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics in Industry     Open Access   (Followers: 1)
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access  
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 4)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access  
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 8)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription   (Followers: 1)
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 14)
Journal of Turbulence     Hybrid Journal   (Followers: 7)
Journal of Uncertainty Analysis and Applications     Open Access  
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 10)
Journal of Water and Land Development     Open Access   (Followers: 3)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 3)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 5)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 22)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal  
Logic Journal of the IGPL     Hybrid Journal  
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Open Access   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 1)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Journal     Open Access   (Followers: 1)
Mathematics Education Research Journal     Partially Free   (Followers: 17)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 2)
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal  
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 3)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal  
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  
North-Holland Mathematical Library     Full-text available via subscription   (Followers: 1)
North-Holland Mathematics Studies     Full-text available via subscription  
North-Holland Series in Applied Mathematics and Mechanics     Full-text available via subscription   (Followers: 1)
Note di Matematica     Open Access  
NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin     Hybrid Journal   (Followers: 4)
Numeracy : Advancing Education in Quantitative Literacy     Open Access  
Numerical Analysis and Applications     Hybrid Journal   (Followers: 1)
Numerical Functional Analysis and Optimization     Hybrid Journal   (Followers: 2)
Numerical Linear Algebra with Applications     Hybrid Journal   (Followers: 6)
Numerical Mathematics : Theory, Methods and Applications     Full-text available via subscription  
Numerische Mathematik     Hybrid Journal  
Open Journal of Discrete Mathematics     Open Access   (Followers: 5)
Open Journal of Modelling and Simulation     Open Access   (Followers: 1)
Open Mathematics     Open Access   (Followers: 1)
Operations Research Letters     Hybrid Journal   (Followers: 11)
Optimization Letters     Hybrid Journal   (Followers: 2)
Optimization Methods and Software     Hybrid Journal   (Followers: 8)
Opuscula Mathematica     Open Access   (Followers: 108)
Order     Hybrid Journal  
ORiON     Open Access  
P-Adic Numbers, Ultrametric Analysis, and Applications     Hybrid Journal  
PAMM : Proceedings in Applied Mathematics and Mechanics     Free   (Followers: 1)
Parallel Processing Letters     Hybrid Journal   (Followers: 3)
Peking Mathematical Journal     Hybrid Journal  
Periodica Mathematica Hungarica     Full-text available via subscription   (Followers: 1)
Perspectivas da Educação Matemática     Open Access  
Petroleum Science     Full-text available via subscription   (Followers: 1)
Philosophia Mathematica     Hybrid Journal   (Followers: 1)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 6)
PNA. Revista de Investigación en Didáctica de la Matemática     Open Access  
Polar Science     Hybrid Journal   (Followers: 3)
Positivity     Hybrid Journal  
Prague Bulletin of Mathematical Linguistics, The     Open Access  

  First | 1 2 3 4     

Similar Journals
Journal Cover
Journal of Knot Theory and Its Ramifications
Journal Prestige (SJR): 0.631
Citation Impact (citeScore): 1
Number of Followers: 1  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0218-2165 - ISSN (Online) 1793-6527
Published by World Scientific Homepage  [119 journals]
  • Dissolving knot surgered 4-manifolds by classical cobordism arguments
    • Authors: R. İnanç Baykur
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 05, April 2018.
      The purpose of this note is to show that classical cobordism arguments, which go back to the pioneering works of Mandelbaum and Moishezon, provide quick and unified proofs of any knot surgered compact simply-connected 4-manifold [math] becoming diffeomorphic to [math] after a single stabilization by connected summing with [math] or [math], and almost complete decomposability of [math] for many almost completely decomposable [math], such as the elliptic surfaces.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-27T04:23:38Z
      DOI: 10.1142/S0218216518710013
       
  • Simplifying branched covering surface-knots by an addition of 1-handles
           with chart loops
    • Authors: Inasa Nakamura
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 05, April 2018.
      A branched covering surface-knot over an oriented surface-knot [math] is a surface-knot in the form of a branched covering over [math]. A branched covering surface-knot over [math] is presented by a graph called a chart on a surface diagram of [math]. For a branched covering surface-knot, an addition of 1-handles equipped with chart loops is a simplifying operation which deforms the chart to the form of the union of free edges and 1-handles with chart loops. We investigate properties of such simplifications.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-27T04:23:37Z
      DOI: 10.1142/S0218216518500311
       
  • Fox formulas for twisted Alexander invariants associated to
           representations of knot groups over rings of [math]-integers
    • Authors: Ryoto Tange
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 05, April 2018.
      We present a generalization of the Fox formula for twisted Alexander invariants associated to representations of knot groups over rings of [math]-integers of [math], where [math] is a finite set of finite primes of a number field [math]. As an application, we give the asymptotic growth of twisted homology groups.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-27T04:23:35Z
      DOI: 10.1142/S0218216518500335
       
  • A topologically minimal canonical Heegaard splitting of a surface bundle
           is critical
    • Authors: Qiang E
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 05, April 2018.
      Every surface bundle with genus [math] fiber has a canonical Heegaard splitting of genus [math]. In this paper, we discuss the topological indices of such Heegaard surfaces and prove the canonical Heegaard splitting of a surface bundle is topologically minimal if and only if it is critical, that is, its topological index is 2.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-27T04:23:33Z
      DOI: 10.1142/S0218216518500347
       
  • Matrices and diagrams of cords on a punctured plane
    • Authors: Yoshiro Yaguchi
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 05, April 2018.
      A cord is a simple curve on a punctured plane. We introduce diagrams which represent isotopy classes of cords. Using such diagrams, we prove that there is a one-to-one correspondence from the set of the isotopy classes of cords to a set of symmetric matrices whose components are non-negative integers, and we give necessary conditions for matrices to represent the isotopy classes of cords.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-27T04:23:29Z
      DOI: 10.1142/S0218216518500360
       
  • Symmetric enhancements of involutory virtual birack counting invariants
    • Authors: Melinda Ho, Sam Nelson
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 05, April 2018.
      We consider involutory virtual biracks with good involutions, also known as symmetric involutory virtual biracks. Any good involution on an involutory virtual birack defines an enhancement of the counting invariant. We provide examples demonstrating that the enhancement is stronger than the unenhanced counting invariant.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-27T04:23:24Z
      DOI: 10.1142/S0218216518500323
       
  • Indecomposable branched coverings over the projective plane by surfaces
           [math] with [math]
    • Authors: Natalia A. Viana Bedoya, Daciberg Lima Gonçalves, Elena A. Kudryavtseva
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 05, April 2018.
      In this work, we study the decomposability property of branched coverings of degree [math] odd, over the projective plane, where the covering surface has Euler characteristic [math]. The latter condition is equivalent to say that the defect of the covering is greater than [math]. We show that, given a datum [math] with an even defect greater than [math], it is realizable by an indecomposable branched covering over the projective plane. The case when [math] is even is known.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-27T04:23:20Z
      DOI: 10.1142/S021821651850030X
       
  • Bowling ball representations of braid groups
    • Authors: Stephen J. Bigelow
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 05, April 2018.
      In a remark in his seminal 1987 paper, Jones describes a way to define the Burau matrix of a positive braid using a metaphor of bowling a ball down a bowling alley with braided lanes. We extend this definition to allow multiple bowling balls to be bowled simultaneously. We obtain representations of the Iwahori–Hecke algebra and a cabled version of the Temperley–Lieb representation.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-27T04:23:16Z
      DOI: 10.1142/S0218216518500359
       
  • The Schubert normal form of a 3-bridge link and the 3-bridge link group
    • Authors: Margarita Toro, Mauricio Rivera
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 04, April 2018.
      We introduce the Schubert form for a [math]-bridge link diagram, as a generalization of the Schubert normal form of a [math]-bridge link. It consists of a set of six positive integers, written as [math], with some conditions and it is based on the concept of [math]-butterfly. Using the Schubert normal form of a [math]-bridge link diagram, we give two presentations of the 3-bridge link group. These presentations are given by concrete formulas that depend on the integers [math]. The construction is a generalization of the form the link group presentation of the [math]-bridge link [math] depends on the integers [math] and [math].
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-24T09:57:53Z
      DOI: 10.1142/S0218216518500293
       
  • Representativity and waist of cable knots
    • Authors: Román Aranda, Seungwon Kim, Maggy Tomova
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 04, April 2018.
      We study the essential surfaces in the exterior of a cable knot to compute the representativity and waist of most cable knots. Our computation answers Ozawa’s question [5] about the relationship between the representativity and the waist of a knot in the negative.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-24T09:57:47Z
      DOI: 10.1142/S0218216518500256
       
  • Grid diagram for singular links
    • Authors: Byung Hee An, Hwa Jeong Lee
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 04, April 2018.
      In this paper, we define the set of singular grid diagrams [math] which provides a unified description for singular links, singular Legendrian links, singular transverse links, and singular braids. We also classify the complete set of all equivalence relations on [math] which induce the bijection onto each singular object. This is an extension of the known result of Ng–Thurston [Grid diagrams, braids, and contact geometry, in Proc. Gökova Geometry-Topology Conf. 2008, Gökova Geometry/Topology Conference (GGT), Gökova, 2009, pp. 120–136] for nonsingular links and braids.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-24T09:57:38Z
      DOI: 10.1142/S0218216518500232
       
  • The [math]-cable [math]-polynomials of knots up to ten crossings
    • Authors: Hideo Takioka
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 04, April 2018.
      For coprime integers [math] and [math], the [math]-cable [math]-polynomial of a knot is the [math]-polynomial of the [math]-cable knot of the knot, where the [math]-polynomial is the common zeroth coefficient polynomial of the HOMFLYPT and Kauffman polynomials. Since it is known that the [math]-polynomial is computable in polynomial time, the [math]-cable [math]-polynomial is also computable in polynomial time. In this paper, we show that the [math]-cable [math]-polynomial completely classifies the unoriented knots up to ten crossings including the chirality information.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-24T09:57:34Z
      DOI: 10.1142/S0218216518500281
       
  • The disk complex and 2-bridge knots
    • Authors: Sangbum Cho, Yuya Koda
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 04, April 2018.
      We give a purely combinatorial proof of a result of Kobayashi and Saeki that every genus one 1-bridge position of a nontrivial 2-bridge knot is a stabilization.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-24T09:57:23Z
      DOI: 10.1142/S021821651850027X
       
  • An invariant of virtual knots using flat virtual knot diagrams
    • Authors: Joonoh Kim, Mihaw Shin
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 04, April 2018.
      In this paper, we describe a method of making an invariant of virtual knots that is defined in terms of an integer labeling of the flat virtual knot diagram. We give an invariant of flat virtual knots using the invariant above. Moreover, we derive a relation of two invariants.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-24T09:57:08Z
      DOI: 10.1142/S0218216518500244
       
  • Adjoint twisted Alexander polynomial of twisted Whitehead links
    • Authors: Hoang-An Nguyen, Anh T. Tran
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 27, Issue 04, April 2018.
      The adjoint twisted Alexander polynomial has been computed for twist knots [A. Tran, Twisted Alexander polynomials with the adjoint action for some classes of knots, J. Knot Theory Ramifications 23(10) (2014) 1450051], genus one two-bridge knots [A. Tran, Adjoint twisted Alexander polynomials of genus one two-bridge knots, J. Knot Theory Ramifications 25(10) (2016) 1650065] and the Whitehead link [J. Dubois and Y. Yamaguchi, Twisted Alexander invariant and nonabelian Reidemeister torsion for hyperbolic three dimensional manifolds with cusps, Preprint (2009), arXiv:0906.1500]. In this paper, we compute the adjoint twisted Alexander polynomial and nonabelian Reidemeister torsion of twisted Whitehead links.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-24T09:56:54Z
      DOI: 10.1142/S0218216518500268
       
  • Skein relations for spin networks, modifed
    • Authors: Jerzy Kocik
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      An alternative framework underlying connection between tensor [math]-calculus and spin networks is suggested. New sign convention for the inner product in the dual spinor space leads to a simpler and direct set of initial rules for the diagrammatic recoupling methods. Yet, it preserves the standard chromatic graph evaluations. In contrast with the standard formulation, the background space is that of symmetric tensor spaces, which seems to be in accordance with the representation theory of [math]. An example of Apollonian disk packing is shown to be a source of spin networks. The graph labeling is extended to non-integer values, resulting in the complex values of chromatic evaluations.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-23T09:43:16Z
      DOI: 10.1142/S0218216518410031
       
  • Strict unimodality of plucking polynomials of rooted trees
    • Authors: Zhiyun Cheng, Sujoy Mukherjee, Józef H. Przytycki, Xiao Wang, Seung Yeop Yang
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We classify rooted trees which have strictly unimodal plucking polynomials ([math]-polynomials). We also give criteria for a trapezoidal shape of a plucking polynomial. We generalize results of Pak and Panova on strict unimodality of [math]-binomial coefficients.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-19T08:25:23Z
      DOI: 10.1142/S0218216518410092
       
  • Asymptotic behavior of integer sequences related to knots and
           [math]-anacci constants
    • Authors: Igor Szczyrba
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We study the asymptotic behavior of integer sequences related to knots that are generated by linear recurrences. We determine which of the 85 such sequences cataloged in Online Encyclopedia of Integer Sequences have ratios of their consecutive terms converging to a limit. We show that all but one of the ratio limits can be expressed by means of the [math]-anacci constants with [math] equal to 1 or 2. Finally, we demonstrate how the [math]-anacci constants are linked to affine geometry.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-19T08:25:23Z
      DOI: 10.1142/S0218216518410110
       
  • Equivalence of two definitions of set-theoretic Yang–Baxter homology and
           general Yang–Baxter homology
    • Authors: Józef H. Przytycki, Xiao Wang
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      In 2004, Carter, Elhamdadi and Saito defined a homology theory for set-theoretic Yang–Baxter operators (we will call it the “algebraic” version in this paper). In 2012, Przytycki defined another homology theory for pre-Yang–Baxter operators which has a nice graphic visualization (we will call it the “graphic” version in this paper). We show that they are equivalent. The “graphic” homology is also defined for pre-Yang–Baxter operators, and we give some examples of its one-term and two-term homologies. In the two-term case, we have found torsion in homology of Yang–Baxter operator that yields the Jones polynomial.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-19T08:25:23Z
      DOI: 10.1142/S0218216518410134
       
  • Differential equations of smooth loops related to some space-time models:
           Integrability conditions and geometry
    • Authors: L. Sbitneva
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      The original approach of Lie to the theory of transformation groups acting on smooth manifolds, on the basis of differential equations, being applied to smooth loops, has permitted the development of the infinitesimal theory of smooth loops generalizing the Lie group theory. A loop with the law of associativity verified for its binary operation is a group. It has been shown that the system of differential equations characterizing a smooth loop with the right Bol identity and the integrability conditions lead to the binary-ternary algebra as a proper infinitesimal object, which turns out to be the Bol algebra (i.e. a Lie triple system with an additional bilinear skew-symmetric operation). There exist the analogous considerations for Moufang loops. We will consider the differential equations of smooth loops, generalizing smooth left Bol loops, with the identities that are the characteristic identities for the algebraic description of some relativistic space-time models. Further examinations of the integrability conditions for the differential equations allow us to introduce the proper infinitesimal object for some subclass of loops under consideration. The geometry of corresponding homogeneous spaces can be described in terms of tensors of curvature and torsion.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-19T08:25:22Z
      DOI: 10.1142/S0218216518410043
       
  • Short and biased introduction to groupoids
    • Authors: Piotr Stachura
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      The algebraic part of an approach to groupoids started by Zakrzewski is presented together with some new results on formal properties of morphisms.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-19T08:25:22Z
      DOI: 10.1142/S0218216518410109
       
  • Simplicial homotopy theory, link homology and Khovanov homology
    • Authors: Louis H. Kauffman
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      This paper shows how, in principle, simplicial methods, including the well-known Dold–Kan construction can be applied to convert link homology theories into homotopy theories. The paper studies particularly the case of Khovanov homology and shows how simplicial structures are implicit in the construction of the Khovanov complex from a link diagram and how the homology of the Khovanov category, with coefficients in an appropriate Frobenius algebra, is related to Khovanov homology. This Khovanov category leads to simplicial groups satisfying the Kan condition that are relevant to a homotopy theory for Khovanov homology.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-19T08:25:21Z
      DOI: 10.1142/S021821651841002X
       
  • Orders on magmas and computability theory
    • Authors: Trang Ha, Valentina Harizanov
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We investigate algebraic and computability-theoretic properties of orderable magmas. A magma is an algebraic structure with a single binary operation. A right order on a magma is a linear ordering of its domain, which is right-invariant with respect to the magma operation. We use tools of computability theory to investigate Turing complexity of orders on computable orderable magmas. A magma is computable if it is finite, or if its domain can be identified with the set of natural numbers and the magma operation is computable. Interesting orderable magmas that are not even associative come from knot theory.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-19T08:25:20Z
      DOI: 10.1142/S0218216518410018
       
  • On divisibility between Alexander polynomials of Turk’s head links
    • Authors: Atsushi Takemura
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We show that for any positive integers [math] and [math], the Alexander polynomial of the [math]-Turk’s head link is divisible by that of the [math]-Turk’s head link.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-10T07:47:22Z
      DOI: 10.1142/S0218216518500402
       
  • Tile number and space-efficient knot mosaics
    • Authors: Aaron Heap, Douglas Knowles
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      In this paper, we introduce the concept of a space-efficient knot mosaic. That is, we seek to determine how to create knot mosaics using the least number of non-blank tiles necessary to depict the knot. This least number is called the tile number of the knot. We determine strict bounds for the tile number of a knot in terms of the mosaic number of the knot. We also determine the tile number of several knots and provide space-efficient knot mosaics for each of them.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-04-10T07:47:22Z
      DOI: 10.1142/S0218216518500414
       
  • Normal and Jones surfaces of knots
    • Authors: Efstratia Kalfagianni, Christine Ruey Shan Lee
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We describe a normal surface algorithm that decides whether a knot, with known degree of the colored Jones polynomial, satisfies the Strong Slope Conjecture. We also discuss possible simplifications of our algorithm and state related open questions. We establish a relation between the Jones period of a knot and the number of sheets of the surfaces that satisfy the Strong Slope Conjecture (Jones surfaces). We also present numerical and experimental evidence supporting a stronger such relation which we state as an open question.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-03-28T07:39:10Z
      DOI: 10.1142/S0218216518500396
       
  • Intrinsically knotted and 4-linked directed graphs
    • Authors: Thomas Fleming, Joel Foisy
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We consider intrinsic linking and knotting in the context of directed graphs. We construct an example of a directed graph that contains a consistently oriented knotted cycle in every embedding. We also construct examples of intrinsically 3-linked and 4-linked directed graphs. We introduce two operations, consistent edge contraction and H-cyclic subcontraction, as special cases of minors for digraphs, and show that the property of having a linkless embedding is closed under these operations. We analyze the relationship between the number of distinct knots and links in an undirected graph [math] and its corresponding symmetric digraph [math]. Finally, we note that the maximum number of edges for a graph that is not intrinsically linked is [math] in the undirected case, but [math] for directed graphs.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2018-03-19T08:23:19Z
      DOI: 10.1142/S0218216518500372
       
 
 
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