Journal of Knot Theory and Its Ramifications最新文献

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Describing Realizable Gauss Diagrams Using the Concepts of Parity or Bipartite Graphs 用宇称或二部图的概念描述可实现的高斯图
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-07-27 DOI: 10.1142/s0218216523500591
A. Lisitsa, V. Lopatkin, A. Vernitski
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引用次数: 0
The Topological Quandles up to four Elements 最多四个元素的拓扑广数
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-07-10 DOI: 10.1142/s0218216523500967
M. Ayadi
{"title":"The Topological Quandles up to four Elements","authors":"M. Ayadi","doi":"10.1142/s0218216523500967","DOIUrl":"https://doi.org/10.1142/s0218216523500967","url":null,"abstract":"The finite topological quandles can be represented as $ntimes n$ matrices, recently defined by S. Nelson and C. Wong. In this paper, we first study the finite topological quandles and we show how to use these matrices to distinguish all isomorphism classes of finite topological quandles for a given cardinality $n$. As an application, we classify finite topological quandles with up to 4 elements.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"78 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139361145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k V1中在ℤm×ℤl—V1上形成商轨道倍数(A0,k
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-07-07 DOI: 10.1142/s0218216523500542
Aruna Bandara
{"title":"Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k","authors":"Aruna Bandara","doi":"10.1142/s0218216523500542","DOIUrl":"https://doi.org/10.1142/s0218216523500542","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44014681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A polynomial invariant of Kauffman type for knotoids 类结的Kauffman型多项式不变量
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-06-20 DOI: 10.1142/s0218216523500505
Y. Miyazawa
{"title":"A polynomial invariant of Kauffman type for knotoids","authors":"Y. Miyazawa","doi":"10.1142/s0218216523500505","DOIUrl":"https://doi.org/10.1142/s0218216523500505","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47127027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A polyhedral approach to the arithmetic and geometry of hyperbolic link complements 双曲连杆补的算术和几何的多面体方法
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-06-20 DOI: 10.1142/s0218216523500529
R. Kellerhals
{"title":"A polyhedral approach to the arithmetic and geometry of hyperbolic link complements","authors":"R. Kellerhals","doi":"10.1142/s0218216523500529","DOIUrl":"https://doi.org/10.1142/s0218216523500529","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43763894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
In Memory of Vaughan Jones (Renzo L. Ricca) 《追忆沃恩·琼斯》伦佐·l·里卡
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-06-08 DOI: 10.1142/s0218216523400254
{"title":"In Memory of Vaughan Jones (Renzo L. Ricca)","authors":"","doi":"10.1142/s0218216523400254","DOIUrl":"https://doi.org/10.1142/s0218216523400254","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43669610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Relationship of the Hennings and Witten-Reshetikhan-Turaev Invariants for Higher Rank Quantum Groups 高阶量子群的Hennings和Witten-Reshetikhan-Turaev不变量的关系
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-06-06 DOI: 10.1142/s0218216523500487
W. Cheong, Alexander Doser, McKinley Gray, S. Sawin
{"title":"Relationship of the Hennings and Witten-Reshetikhan-Turaev Invariants for Higher Rank Quantum Groups","authors":"W. Cheong, Alexander Doser, McKinley Gray, S. Sawin","doi":"10.1142/s0218216523500487","DOIUrl":"https://doi.org/10.1142/s0218216523500487","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45730029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial 来自考夫曼多项式的瓦西里耶夫不变式的高斯图公式
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-06-02 DOI: 10.1142/s0218216523500840
Butian Zhang
{"title":"Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial","authors":"Butian Zhang","doi":"10.1142/s0218216523500840","DOIUrl":"https://doi.org/10.1142/s0218216523500840","url":null,"abstract":"A state model for Kauffman polynomial of Dubrovnik-version is given. Based on the state model, the Gauss diagram formulae for Vassiliev invariants are given from the coefficients of Kauffman polynomial following the method of Chmutov and Polyak. Some arrow diagram identities are given to simplify the Gauss diagram formulae of order 3, which give Polyak-Viro and Chmutov-Polyak formulae for the Vassiliev invariant of order 3. The models of Kauffman polynomial and HOMFLY-PT polynomial give different Gauss diagram expressions when specializing to Jones poynomial.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"8 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139371070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on Rivin's interpretation of McShane's identity as identities for closed geodesics with one self-intersection 关于里文将麦克沙恩的身份解释为具有一个自交点的封闭测地线的身份的注解
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-06-01 DOI: 10.1142/s0218216523500499
D. Lei, Ying Zhang
{"title":"A note on Rivin's interpretation of McShane's identity as identities for closed geodesics with one self-intersection","authors":"D. Lei, Ying Zhang","doi":"10.1142/s0218216523500499","DOIUrl":"https://doi.org/10.1142/s0218216523500499","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41455492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Homotopy classes of 4-component links, claspers and the habegger-lin algorithm 四元链的同构类、classers和habegger-lin算法
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-05-26 DOI: 10.1142/s0218216523500451
Yuka Kotorii, Atsuhiko Mizusawa
{"title":"Homotopy classes of 4-component links, claspers and the habegger-lin algorithm","authors":"Yuka Kotorii, Atsuhiko Mizusawa","doi":"10.1142/s0218216523500451","DOIUrl":"https://doi.org/10.1142/s0218216523500451","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49480903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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