Subjects -> MATHEMATICS (Total: 1105 journals)
    - APPLIED MATHEMATICS (88 journals)
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    - MATHEMATICS (814 journals)
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MATHEMATICS (814 journals)            First | 1 2 3 4 5     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Computational Physics     Hybrid Journal   (Followers: 70)
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Journal of Contemporary Mathematical Analysis     Hybrid Journal  
Journal of Cryptology     Hybrid Journal   (Followers: 3)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
Journal of Discrete Algorithms     Hybrid Journal   (Followers: 4)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Journal of Dynamics and Differential Equations     Hybrid Journal  
Journal of Engineering Mathematics     Hybrid Journal   (Followers: 2)
Journal of Evolution Equations     Hybrid Journal  
Journal of Experimental Algorithmics     Full-text available via subscription   (Followers: 1)
Journal of Flood Risk Management     Hybrid Journal   (Followers: 13)
Journal of Formalized Reasoning     Open Access   (Followers: 2)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 2)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 1)
Journal of Geological Research     Open Access   (Followers: 1)
Journal of Geovisualization and Spatial Analysis     Hybrid Journal  
Journal of Global Optimization     Hybrid Journal   (Followers: 7)
Journal of Global Research in Mathematical Archives     Open Access   (Followers: 1)
Journal of Group Theory     Hybrid Journal   (Followers: 2)
Journal of Homotopy and Related Structures     Hybrid Journal  
Journal of Honai Math     Open Access  
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: 3)
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: 9)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 3)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 10)
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 Education at Teachers College     Open Access   (Followers: 3)
Journal of Mathematics in Industry     Open Access  
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   (Followers: 5)
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: 9)
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: 15)
Journal of Turbulence     Hybrid Journal   (Followers: 8)
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: 11)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 5)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access   (Followers: 4)
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  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access   (Followers: 3)
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  
Lietuvos Matematikos Rinkinys     Open Access   (Followers: 3)
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   (Followers: 1)
Logic Journal of the IGPL     Hybrid Journal   (Followers: 1)
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     Full-text available via subscription   (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 Journal of Interdisciplinary Sciences     Open Access  
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 Models in Engineering     Open Access   (Followers: 5)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 2)
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 Forum Chitwan     Open Access   (Followers: 1)
Mathematics Education Journal     Open Access   (Followers: 2)
Mathematics Education Research Journal     Partially Free   (Followers: 18)
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)
MathLAB Journal     Open Access   (Followers: 3)
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   (Followers: 1)
MONA : Matematik- og Naturfagsdidaktik     Hybrid Journal   (Followers: 6)
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: 4)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal   (Followers: 1)
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  

  First | 1 2 3 4 5     

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]
  • Twisted torus knots [math] which are torus knots
    • Authors: Sangyop Lee
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      A twisted torus knot is a torus knot with some consecutive strands twisted. More precisely, a twisted torus knot [math] is a torus knot [math] with [math] consecutive strands [math] times fully twisted. We determine which twisted torus knots [math] are a torus knot.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-09-05T07:00:00Z
      DOI: 10.1142/S0218216520500686
      Issue No: Vol. 29, No. 09 (2020)
       
  • Amphicheirality of ribbon [math]-knots
    • Authors: Tomoyuki Yasuda
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      For any classical knot [math], we can construct a ribbon [math]-knot [math] by spinning an arc removed a small segment from [math] about [math] in [math]. A ribbon [math]-knot is an embedded [math]-sphere in [math]. If [math] has an [math]-crossing presentation, by spinning this, we can naturally construct a ribbon presentation with [math] ribbon crossings for [math]. Thus, we can define naturally a notion on ribbon [math]-knots corresponding to the crossing number on classical knots. It is called the ribbon crossing number. On classical knots, it was a long-standing conjecture that any odd crossing classical knot is not amphicheiral. In this paper, we show that for any odd integer [math] there exists an amphicheiral ribbon [math]-knot with the ribbon crossing number [math].
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-09-05T07:00:00Z
      DOI: 10.1142/S0218216520500698
      Issue No: Vol. 29, No. 09 (2020)
       
  • Positive knots and weak (1, 3) homotopy
    • Authors: Noboru Ito, Yusuke Takimura
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      It is known that there exists a surjective map from the set of weak (1, 3) homotopy classes of knot projections to the set of positive knots [N. Ito and Y. Takimura, (1, 2) and weak (1, 3) homotopies on knot projections, J. Knot Theory Ramifications 22 (2013) 1350085]. An interesting question whether this map is also injective, which question was formulated independently by S. Kamada and Y. Nakanishi in 2013 (Question q1). This paper obtains an answer to this question.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-09-04T07:00:00Z
      DOI: 10.1142/S0218216520500613
      Issue No: Vol. 29, No. 09 (2020)
       
  • Tau invariants for balanced spatial graphs
    • Authors: Katherine Vance
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      In 2003, Ozsváth and Szabó defined the concordance invariant [math] for knots in oriented 3-manifolds as part of the Heegaard Floer homology package. In 2011, Sarkar gave a combinatorial definition of [math] for knots in [math] and a combinatorial proof that [math] gives a lower bound for the slice genus of a knot. Recently, Harvey and O’Donnol defined a relatively bigraded combinatorial Heegaard Floer homology theory for transverse spatial graphs in [math], extending HFK for knots. We define a [math]-filtered chain complex for balanced spatial graphs whose associated graded chain complex has homology determined by Harvey and O’Donnol’s graph Floer homology. We use this to show that there is a well-defined [math] invariant for balanced spatial graphs generalizing the [math] knot concordance invariant. In particular, this defines a [math] invariant for links in [math]. Using techniques similar to those of Sarkar, we show that our [math] invariant is an obstruction to a link being slice.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-09-04T07:00:00Z
      DOI: 10.1142/S0218216520500662
      Issue No: Vol. 29, No. 09 (2020)
       
  • On the lower central series of some virtual knot groups
    • Authors: Valeriy G. Bardakov, Neha Nanda, Mikhail V. Neshchadim
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      We study groups of some virtual knots with small number of crossings and prove that there is a virtual knot with long lower central series which, in particular, implies that there is a virtual knot with residually nilpotent group. This gives a possibility to construct invariants of virtual knots using quotients by terms of the lower central series of knot groups. Also, we study decomposition of virtual knot groups as semi direct product and free product with amalgamation. In particular, we prove that the groups of some virtual knots are extensions of finitely generated free groups by infinite cyclic groups.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-28T07:00:00Z
      DOI: 10.1142/S0218216520500650
      Issue No: Vol. 29, No. 09 (2020)
       
  • 2-Knot homology and Yoshikawa move
    • Authors: Hiroshi Matsuda
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      Ng constructed an invariant of knots in [math], a combinatorial knot contact homology. Extending his study, we construct an invariant of surface-knots in [math] using marked graph diagrams.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-28T07:00:00Z
      DOI: 10.1142/S0218216520500674
      Issue No: Vol. 29, No. 09 (2020)
       
  • On the indeterminacy of Milnor’s triple linking number
    • Authors: Jonah Amundsen, Eric Anderson, Christopher William Davis
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      In the 1950s Milnor defined a family of higher-order invariants generalizing the linking number. Even the first of these new invariants, the triple linking number, has received fruitful study since its inception. In the case that a link [math] has vanishing pairwise linking numbers, this triple linking number gives an integer-valued invariant. When the linking numbers fail to vanish, the triple linking number is only well-defined modulo their greatest common divisor. In recent work Davis–Nagel–Orson–Powell produce a single invariant called the total triple linking number refining the triple linking number and taking values in an abelian group called the total Milnor quotient. They present examples for which this quotient is nontrivial even though each of the individual triple linking numbers take values in the trivial group, [math], and so carry no information. As a consequence, the total triple linking number carries more information than do the classical triple linking numbers. The goal of this paper is to compute this group and show that when [math] is a link of at least six components it is nontrivial. Thus, this total triple linking number carries information for every [math]-component link, even though the classical triple linking numbers often carry no information.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-17T07:00:00Z
      DOI: 10.1142/S0218216520500649
      Issue No: Vol. 29, No. 09 (2020)
       
  • An invariant of graph-links valued in graphs and an almost classification
           of graph-links
    • Authors: Denis P. Ilyutko, Vassily O. Manturov
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      In [V. O. Manturov, An almost classification of free knots, Dokl. Math. 88(2) (2013) 556–558.] the second author constructed an invariant which in some sense generalizes the quantum [math] link invariant of Kuperberg to the case of free links. In this paper, we generalize this construction to free graph-links. As a result, we obtain an invariant of free graph-links with values in linear combinations of graphs. The main property of this invariant is that under certain conditions on the representative of the free graph-link, we can recover this representative from the value invariant on it. In addition, this invariant allows one to partially classify free graph-links.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-05T07:00:00Z
      DOI: 10.1142/S0218216520500637
      Issue No: Vol. 29, No. 09 (2020)
       
  • On knot groups acting on trees
    • Authors: Fedor A. Dudkin, Andrey S. Mamontov
      Abstract: Journal of Knot Theory and Its Ramifications, Volume 29, Issue 09, August 2020.
      A finitely generated group [math] acting on a tree with infinite cyclic edge and vertex stabilizers is called a generalized Baumslag–Solitar group (GBS group). We prove that a one-knot group [math] is a GBS group if and only if [math] is a torus knot group, and describe all n-knot GBS groups for [math].
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-07-30T07:00:00Z
      DOI: 10.1142/S0218216520500625
      Issue No: Vol. 29, No. 09 (2020)
       
  • Minimal grid diagrams of 11 crossing prime alternating knots
    • Authors: Gyo Taek Jin, Hwa Jeong Lee
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      The arc index of a knot is the minimal number of arcs in all arc presentations of the knot. An arc presentation of a knot can be shown in the form of a grid diagram which is a closed plane curve consisting of finitely many horizontal line segments and the same number of vertical line segments. The arc index of an alternating knot is its minimal crossing number plus two. In this paper, we give a list of minimal grid diagrams of the 11 crossing prime alternating knots obtained from arc presentations with 13 arcs.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-10-23T07:00:00Z
      DOI: 10.1142/S0218216520500765
       
  • Edge-preserving maps of the nonseparating curve graphs, curve graphs and
           rectangle preserving maps of the Hatcher–Thurston graphs
    • Authors: Elmas Irmak
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      Let [math] be a compact, connected, orientable surface of genus [math] with [math] boundary components with [math], [math]. Let [math] be the nonseparating curve graph, [math] be the curve graph and [math] be the Hatcher–Thurston graph of [math]. We prove that if [math] is an edge-preserving map, then [math] is induced by a homeomorphism of [math]. We prove that if [math] is an edge-preserving map, then [math] is induced by a homeomorphism of [math]. We prove that if [math] is closed and [math] is a rectangle preserving map, then [math] is induced by a homeomorphism of [math]. We also prove that these homeomorphisms are unique up to isotopy when [math].
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-10-22T07:00:00Z
      DOI: 10.1142/S0218216520500789
       
  • Extending quasi-alternating links
    • Authors: Nafaa Chbili, Kirandeep Kaur
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      Champanerkar and Kofman [Twisting quasi-alternating links, Proc. Amer. Math. Soc. 137(7) (2009) 2451–2458] introduced an interesting way to construct new examples of quasi-alternating links from existing ones. Actually, they proved that replacing a quasi-alternating crossing [math] in a quasi-alternating link by a rational tangle of same type yields a new quasi-alternating link. This construction has been extended to alternating algebraic tangles and applied to characterize all quasi-alternating Montesinos links. In this paper, we extend this technique to any alternating tangle of same type as [math]. As an application, we give new examples of quasi-alternating knots of 13 and 14 crossings. Moreover, we prove that the Jones polynomial of a quasi-alternating link that is obtained in this way has no gap if the original link has no gap in its Jones polynomial. This supports a conjecture introduced in [N. Chbili and K. Qazaqzeh, On the Jones polynomial of quasi-alternating links, Topology Appl. 264 (2019) 1–11], which states that the Jones polynomial of any prime quasi-alternating link except [math]-torus links has no gap.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-10-16T07:00:00Z
      DOI: 10.1142/S0218216520500728
       
  • Labeled singular knots
    • Authors: Khaled Bataineh
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We introduce labeled singular knots and equivalently labeled 4-valent rigid vertex spatial graphs. Labeled singular knots are singular knots with labeled singularities. These knots are considered subject to isotopies preserving the labelings. We provide a topological invariant schema similar to that of Henrich and Kauffman in [A. Henrich and L. H. Kauffman, Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs, Contemp. Math. 689 (2017) 1–10] by inserting rational tangles at the labeled singularities to extend usual knot invariants to our class of singular knots. We show that we can use invariants of labeled singular knots to serve usual singular knots. Labeled framed pseudoknots are also introduced and discussed.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-10-13T07:00:00Z
      DOI: 10.1142/S0218216520500704
       
  • Knot diagrams on a punctured sphere as a model of string figures
    • Authors: Masafumi Arai, Kouki Taniyama
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      A string figure is topologically a trivial knot lying on an imaginary plane orthogonal to the fingers with some crossings. The fingers prevent cancellation of these crossings. As a mathematical model of string figure, we consider a knot diagram on the [math]-plane in [math]-space missing some straight lines parallel to the [math]-axis. These straight lines correspond to fingers. We study minimal number of crossings of these knot diagrams under Reidemeister moves missing these lines.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-10-13T07:00:00Z
      DOI: 10.1142/S0218216520500716
       
  • A note on the orderability of Dehn fillings of the manifold [math]
    • Authors: Konstantinos Varvarezos
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We show that Dehn filling on the manifold [math] results in a non-orderable space for all rational slopes in the interval [math]. This is consistent with the L-space conjecture, which predicts that all fillings will result in a non-orderable space for this manifold.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-10-06T07:00:00Z
      DOI: 10.1142/S0218216520710029
       
  • Black holes and topological surgery
    • Authors: Stathis Antoniou, Louis H. Kauffman, Sofia Lambropoulou
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We directly connect topological changes that can occur in mathematical three-space via surgery, with black hole formation, the formation of wormholes and new generalizations of these phenomena. This work widens the bridge between topology and natural sciences and creates a new platform for exploring geometrical physics.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-09-14T07:00:00Z
      DOI: 10.1142/S0218216520420109
       
  • An equivalent description of the lens space [math] with [math] prime
    • Authors: Fengling Li, Dongxu Wang, Liang Liang, Fengchun Lei
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      In the paper, we give an equivalent description of the lens space [math] with [math] prime in terms of any corresponding Heegaard diagrams as follows: Let [math] be a closed orientable 3-manifold with [math] and [math] a Heegaard splitting of genus [math] for [math] with an associated Heegaard diagram [math]. Assume [math] is a prime integer. Then [math] is homeomorphic to the lens space [math] if and only if there exists an embedding [math] such that [math] bounds a complete system of surfaces for [math].
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-21T07:00:00Z
      DOI: 10.1142/S0218216520420055
       
  • Gordian complexes of knots and virtual knots given by region crossing
           changes and arc shift moves
    • Authors: Amrendra Gill, Madeti Prabhakar, Andrei Vesnin
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      Gordian complex of knots was defined by Hirasawa and Uchida as the simplicial complex whose vertices are knot isotopy classes in [math]. Later Horiuchi and Ohyama defined Gordian complex of virtual knots using [math]-move and forbidden moves. In this paper, we discuss Gordian complex of knots by region crossing change and Gordian complex of virtual knots by arc shift move. Arc shift move is a local move in the virtual knot diagram which results in reversing orientation locally between two consecutive crossings. We show the existence of an arbitrarily high-dimensional simplex in both the Gordian complexes, i.e. by region crossing change and by the arc shift move. For any given knot (respectively, virtual knot) diagram we construct an infinite family of knots (respectively, virtual knots) such that any two distinct members of the family have distance one by region crossing change (respectively, arc shift move). We show that the constructed virtual knots have the same affine index polynomial.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-21T07:00:00Z
      DOI: 10.1142/S0218216520420080
       
  • Some remarks on twin groups
    • Authors: Tushar K. Naik, Neha Nanda, Mahender Singh
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      The twin group [math] is a right angled Coxeter group generated by [math] involutions and having only far commutativity relations. These groups can be thought of as planar analogues of Artin braid groups. In this paper, we study some properties of twin groups whose analogues are well known for Artin braid groups. We give an algorithm for two twins to be equivalent under individual Markov moves. Further, we show that twin groups [math] have [math]-property and are not co-Hopfian for [math].
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-19T07:00:00Z
      DOI: 10.1142/S0218216520420067
       
  • On virtual cabling and a structure of 4-strand virtual pure braid group
    • Authors: Valeriy G. Bardakov, Jie Wu
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      This paper is dedicated to cabling on virtual braids. This construction gives a new generating set for the virtual pure braid group [math]. We define simplicial group [math] and its simplicial subgroup [math] which is generated by [math]. Consequently, we describe [math] as HNN-extension and find presentation of [math] and [math]. As an application to classical braids, we find a new presentation of the Artin pure braid group [math] in terms of the cabled generators.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-17T07:00:00Z
      DOI: 10.1142/S021821652042002X
       
  • Some remarks on the chord index
    • Authors: Zhiyun Cheng, Hongzhu Gao, Mengjian Xu
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      In this paper, we discuss how to define a chord index via smoothing a real crossing point of a virtual knot diagram. Several polynomial invariants of virtual knots and links can be recovered from this general construction. We also explain how to extend this construction from virtual knots to flat virtual knots.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-08T07:00:00Z
      DOI: 10.1142/S0218216520420031
       
  • On 3-strand singular pure braid group
    • Authors: Valeriy G. Bardakov, Tatyana A. Kozlovskaya
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      In this paper, we study the singular pure braid group [math] for [math]. We find generators, defining relations and the algebraical structure of these groups. In particular, we prove that [math] is a semi-direct product [math], where [math] is an HNN-extension with base group [math] and cyclic associated subgroups. We prove that the center [math] of [math] is a direct factor in [math].
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-05T07:00:00Z
      DOI: 10.1142/S0218216520420018
       
  • Knotting probability of an arc diagram
    • Authors: Akio Kawauchi
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      The knotting probability of an arc diagram is defined as the quadruplet of four kinds of finner knotting probabilities which are invariant under a reasonable deformation containing an isomorphism on an arc diagram. In a separated paper, it is shown that every oriented spatial arc admits four kinds of unique arc diagrams up to isomorphisms determined from the spatial arc and the projection, so that the knotting probability of a spatial arc is defined. The definition of the knotting probability of an arc diagram uses the fact that every arc diagram induces a unique chord diagram representing a ribbon 2-knot. Then the knotting probability of an arc diagram is set to measure how many nontrivial ribbon genus 2 surface-knots occur from the chord diagram induced from the arc diagram. The conditions for an arc diagram with the knotting probability 0 and for an arc diagram with the knotting probability 1 are given together with some other properties and some examples.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-05T07:00:00Z
      DOI: 10.1142/S0218216520420043
       
  • An infinite family of braid group representations in automorphism groups
           of free groups
    • Authors: Wonjun Chang, Byung Chun Kim, Yongjin Song
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      The [math]-fold ([math]) branched coverings on a disk give an infinite family of nongeometric embeddings of braid groups into mapping class groups. We, in this paper, give new explicit expressions of these braid group representations into automorphism groups of free groups in terms of the actions on the generators of free groups. We also give a systematic way of constructing and expressing these braid group representations in terms of a new gadget, called covering groupoid. We prove that each generator [math] of braid group inside mapping class group induced by [math]-fold covering is the product of [math] Dehn twists on the surface.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-05T07:00:00Z
      DOI: 10.1142/S0218216520420079
       
  • Homologically trivial group actions on elliptic surfaces
    • Authors: Yulai Wu, Ximin Liu
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      In this paper, we study the minimal symplectic elliptic surfaces [math] with homologically trivial symplectic finite group actions, and get a rigidity theorem under some restriction.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-08-05T07:00:00Z
      DOI: 10.1142/S0218216520420092
       
  • Refined large [math] duality for knots
    • Authors: Masaya Kameyama, Satoshi Nawata
      Abstract: Journal of Knot Theory and Its Ramifications, Ahead of Print.
      We formulate large [math] duality of [math] refined Chern–Simons theory with a torus knot/link in [math]. By studying refined BPS states in M-theory, we provide the explicit form of low-energy effective actions of Type IIA string theory with D4-branes on the [math]-background. This form enables us to relate refined Chern–Simons invariants of a torus knot/link in [math] to refined BPS invariants in the resolved conifold. Assuming that the extra [math] global symmetry acts on BPS states trivially, the duality predicts graded dimensions of cohomology groups of moduli spaces of M2–M5 bound states associated to a torus knot/link in the resolved conifold. Thus, this formulation can be also interpreted as a positivity conjecture of refined Chern–Simons invariants of torus knots/links. We also discuss about an extension to non-torus knots.
      Citation: Journal of Knot Theory and Its Ramifications
      PubDate: 2020-07-08T07:00:00Z
      DOI: 10.1142/S0218216520410011
       
 
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