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Journal of Knot Theory and Its Ramifications最新文献

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Framed Thompson Groups 框架Thompson群
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-05-19 DOI: 10.1142/s0218216523400138
A. Kontogeorgis, S. Lambropoulou
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引用次数: 0
On the generalized virtual Goeritz matrix for virtual knots 关于虚拟结的广义虚拟Goeritz矩阵
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-04-12 DOI: 10.1142/s0218216523500384
Kyeonghui Lee, Sera Kim
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引用次数: 0
The Gordian complexes of knots given by 4-move 由4-move给出的高氏结复合体
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-03-31 DOI: 10.1142/s0218216523500347
Danish Ali, Zhiqing Yang, A. Hussain, Muqadar Ali
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引用次数: 0
Bi-Legendrian rack colorings of Legendrian knots
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-03-17 DOI: 10.1142/s0218216523500293
Naoki Kimura
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引用次数: 0
Lefschetz open book decompositions of 4–manifolds 4–流形的Lefschetz开卷分解
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-03-10 DOI: 10.1142/s0218216523500268
Abhijeet Ghanwat, Suhas Pandit, A. Selvakumar
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引用次数: 0
One more proof of Vassiliev's conjecture 瓦西里耶夫猜想的又一证明
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-03-06 DOI: 10.1142/s0218216523500256
Viktoriya Trifonova
{"title":"One more proof of Vassiliev's conjecture","authors":"Viktoriya Trifonova","doi":"10.1142/s0218216523500256","DOIUrl":"https://doi.org/10.1142/s0218216523500256","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42925879","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
The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and ω-solvability 纤维结的马丘指数和Nakanishi指数相等，ω-可解性
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-02-23 DOI: 10.1142/s0218216523500220
Teruhisa Kadokami
{"title":"The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and ω-solvability","authors":"Teruhisa Kadokami","doi":"10.1142/s0218216523500220","DOIUrl":"https://doi.org/10.1142/s0218216523500220","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46720483","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
Heegaard presentations and Milnor pairings of some knots 一些结的Heegaard表示和Milnor配对
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-02-23 DOI: 10.1142/s0218216523500219
Takumi Ohkura
{"title":"Heegaard presentations and Milnor pairings of some knots","authors":"Takumi Ohkura","doi":"10.1142/s0218216523500219","DOIUrl":"https://doi.org/10.1142/s0218216523500219","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42352300","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: 1
Tri-Plane Diagrams for Simple Surfaces in S4 简单曲面的三平面图
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-02-16 DOI: 10.1142/s0218216523500414
Wolfgang Allred, Manuel Arag'on, Zack Dooley, Alexander Goldman, Yucong Lei, Isaiah Martinez, N. Meyer, Devon Peters, S. Warrander, Ana Wright, Alexander Zupan
{"title":"Tri-Plane Diagrams for Simple Surfaces in S4","authors":"Wolfgang Allred, Manuel Arag'on, Zack Dooley, Alexander Goldman, Yucong Lei, Isaiah Martinez, N. Meyer, Devon Peters, S. Warrander, Ana Wright, Alexander Zupan","doi":"10.1142/s0218216523500414","DOIUrl":"https://doi.org/10.1142/s0218216523500414","url":null,"abstract":"Meier and Zupan proved that an orientable surface $mathcal{K}$ in $S^4$ admits a tri-plane diagram with zero crossings if and only if $mathcal{K}$ is unknotted, so that the crossing number of $mathcal{K}$ is zero. We determine the minimal crossing numbers of nonorientable unknotted surfaces in $S^4$, proving that $c(mathcal{P}^{n,m}) = max{1,|n-m|}$, where $mathcal{P}^{n,m}$ denotes the connected sum of $n$ unknotted projective planes with normal Euler number $+2$ and $m$ unknotted projective planes with normal Euler number $-2$. In addition, we convert Yoshikawa's table of knotted surface ch-diagrams to tri-plane diagrams, finding the minimal bridge number for each surface in the table and providing upper bounds for the crossing numbers.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44987548","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
Quantum invariant congruence for periodic links 周期连杆的量子不变同余
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-02-16 DOI: 10.1142/s0218216523500207
Joonoh Kim, Kyoung-Tark Kim
{"title":"Quantum invariant congruence for periodic links","authors":"Joonoh Kim, Kyoung-Tark Kim","doi":"10.1142/s0218216523500207","DOIUrl":"https://doi.org/10.1142/s0218216523500207","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42674309","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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