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Journal of Knot Theory and Its Ramifications最新文献

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Cosmetic surgery conjecture for 3 strand pretzel knots 3股椒盐卷饼结的整容手术猜想
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-02-10 DOI: 10.1142/s0218216523500177
Kang-Il Ri, Won-Hak Ri, Nam-Il Jong
{"title":"Cosmetic surgery conjecture for 3 strand pretzel knots","authors":"Kang-Il Ri, Won-Hak Ri, Nam-Il Jong","doi":"10.1142/s0218216523500177","DOIUrl":"https://doi.org/10.1142/s0218216523500177","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49115151","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
Cable knots obtained by positively twisting torus knots 正扭转环面结得到的电缆结
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-02-10 DOI: 10.1142/s0218216523500189
Sangyop Lee
{"title":"Cable knots obtained by positively twisting torus knots","authors":"Sangyop Lee","doi":"10.1142/s0218216523500189","DOIUrl":"https://doi.org/10.1142/s0218216523500189","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63987810","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
Index polynomial invariants of virtual knots using invariants for flat virtual knots 使用平面虚拟结的不变量索引虚拟结的多项式不变量
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-02-03 DOI: 10.1142/s0218216523500153
Kyeonghui Lee
{"title":"Index polynomial invariants of virtual knots using invariants for flat virtual knots","authors":"Kyeonghui Lee","doi":"10.1142/s0218216523500153","DOIUrl":"https://doi.org/10.1142/s0218216523500153","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47364924","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
Quandle coloring quivers of (p,3)-torus links （p，3）-环面环的Quantle染色颤动
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-02-03 DOI: 10.1142/s0218216523500165
Boxin Zhou, Ximin Liu
{"title":"Quandle coloring quivers of (p,3)-torus links","authors":"Boxin Zhou, Ximin Liu","doi":"10.1142/s0218216523500165","DOIUrl":"https://doi.org/10.1142/s0218216523500165","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42296655","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: 3
A note on closed 3-braid knot shadows 关于闭合的3辫结阴影的注释
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-01-20 DOI: 10.1142/s0218216523500141
Ryo Hanaki, M. Nakamura
{"title":"A note on closed 3-braid knot shadows","authors":"Ryo Hanaki, M. Nakamura","doi":"10.1142/s0218216523500141","DOIUrl":"https://doi.org/10.1142/s0218216523500141","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"5 5 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63987728","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 𝔤𝔩2-skein module of lens spaces via the torus and solid torus 通过环面和实体环面透镜空间的<s:1>𝔩2-skein模块
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-01-19 DOI: 10.1142/s0218216523500128
Hoang-An Nguyen
{"title":"The 𝔤𝔩2-skein module of lens spaces via the torus and solid torus","authors":"Hoang-An Nguyen","doi":"10.1142/s0218216523500128","DOIUrl":"https://doi.org/10.1142/s0218216523500128","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63987720","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
Extension of Takahashi's ribbon 2-knots with isomorphic groups 具有同构群的高桥带2结的扩展
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-01-19 DOI: 10.1142/s021821652350013x
T. Kanenobu, Toshio Sumi
{"title":"Extension of Takahashi's ribbon 2-knots with isomorphic groups","authors":"T. Kanenobu, Toshio Sumi","doi":"10.1142/s021821652350013x","DOIUrl":"https://doi.org/10.1142/s021821652350013x","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41390711","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
Linking number of monotonic cycles in random book embeddings of complete graphs 完全图随机书嵌入中单调循环的连接数
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-01-05 DOI: 10.1142/s0218216523500438
Yasmin Aguillon, Eric O. Burkholder, X. Cheng, Spencer Eddins, Emma Harrell, K. Kozai, Elijah Leake, Pedro Morales
{"title":"Linking number of monotonic cycles in random book embeddings of complete graphs","authors":"Yasmin Aguillon, Eric O. Burkholder, X. Cheng, Spencer Eddins, Emma Harrell, K. Kozai, Elijah Leake, Pedro Morales","doi":"10.1142/s0218216523500438","DOIUrl":"https://doi.org/10.1142/s0218216523500438","url":null,"abstract":"A book embedding of a complete graph is a spatial embedding whose planar projection has the vertices located along a circle, consecutive vertices are connected by arcs of the circle, and the projections of the remaining\"interior\"edges in the graph are straight line segments between the points on the circle representing the appropriate vertices. A random embedding of a complete graph can be generated by randomly assigning relative heights to these interior edges. We study a family of two-component links that arise as the realizations of pairs of disjoint cycles in these random embeddings of graphs. In particular, we show that the distribution of linking numbers can be described in terms of Eulerian numbers. Consequently, the mean of the squared linking number over all random embeddings is $frac{i}{6}$, where $i$ is the number of interior edges in the cycles. We also show that the mean of the squared linking number over all pairs of $n$-cycles in $K_{2n}$ grows linearly in $n$.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48375366","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
From colored triangulations to framed link presentations of 3-manifolds by a polynomial algorithm 用多项式算法从彩色三角剖分到3流形的框架链表示
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2022-12-31 DOI: 10.1142/s0218216523500098
Sostenes L. Lins Soares, Ricardo N. Machado
{"title":"From colored triangulations to framed link presentations of 3-manifolds by a polynomial algorithm","authors":"Sostenes L. Lins Soares, Ricardo N. Machado","doi":"10.1142/s0218216523500098","DOIUrl":"https://doi.org/10.1142/s0218216523500098","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46481188","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
An introduction to Thompson knot theory and to Jones subgroups Thompson结理论和Jones子群引论
IF 0.5 4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2022-11-28 DOI: 10.1142/s0218216523400023
Valeriano Aiello
{"title":"An introduction to Thompson knot theory and to Jones subgroups","authors":"Valeriano Aiello","doi":"10.1142/s0218216523400023","DOIUrl":"https://doi.org/10.1142/s0218216523400023","url":null,"abstract":"We review a constructions of knots from elements of the Thompson groups due to Vaughan Jones, which comes in two flavours: oriented and unoriented.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49396371","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: 5
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