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Journal of Knot Theory and Its Ramifications最新文献

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The photography method: solving pentagon equation 摄影法:解五边形方程
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-11-10 DOI: 10.1142/s0218216523500748
Vassily Olegovich Manturov, Zheyan Wan
{"title":"The photography method: solving pentagon equation","authors":"Vassily Olegovich Manturov, Zheyan Wan","doi":"10.1142/s0218216523500748","DOIUrl":"https://doi.org/10.1142/s0218216523500748","url":null,"abstract":". In the present paper, we consider two applications of the pentagon equation. The first deals with actions of flips on edges of triangulations labelled by rational functions in some variables. The second can be formulated as a system of linear equations with variables corresponding to triangles of a triangulation. The general method says that if there is some general data (say, edge lengths or areas) associated with states (say, triangulations) and a general data transformation rule (say, how lengths or areas are changed under flips) then after returning to the initial state we recover the initial data.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191570","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
Remembrance of Vaughan Jones 纪念沃恩·琼斯
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-11-09 DOI: 10.1142/s0218216523030025
Jørgen Ellegaard Andersen
{"title":"Remembrance of Vaughan Jones","authors":"Jørgen Ellegaard Andersen","doi":"10.1142/s0218216523030025","DOIUrl":"https://doi.org/10.1142/s0218216523030025","url":null,"abstract":"Journal of Knot Theory and Its RamificationsOnline Ready No AccessRemembrance of Vaughan JonesJørgen Ellegaard AndersenJørgen Ellegaard AndersenCenter for Quantum Mathematics, Danish Institute for Advance Study, University of Southern Denmark, Odense, DenmarkE-mail Address: [email protected]https://doi.org/10.1142/S0218216523030025Cited by:0 (Source: Crossref) Next AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail FiguresReferencesRelatedDetails Recommended Online Ready Metrics History Published: 9 November 2023 PDF download","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135292260","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
Psyquandle Coloring Quivers 麻风染色颤抖
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-11-07 DOI: 10.1142/s0218216523500736
Jose Ceniceros, Anthony Christiana, Sam Nelson
{"title":"Psyquandle Coloring Quivers","authors":"Jose Ceniceros, Anthony Christiana, Sam Nelson","doi":"10.1142/s0218216523500736","DOIUrl":"https://doi.org/10.1142/s0218216523500736","url":null,"abstract":"We enhance the psyquandle counting invariant for singular knots and pseudoknots using quivers analogously to quandle coloring quivers. This enables us to extend the in-degree polynomial invariants from quandle coloring quiver theory to the case of singular knots and pseudoknots. As a side effect we obtain biquandle coloring quivers and in-degree polynomial invariants for classical and virtual knots and links.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135541072","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
Algebraic Concordance Order of Almost Classical Knots 几乎经典节的代数调和顺序
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-11-03 DOI: 10.1142/s0218216523500724
Micah Chrisman, Sujoy Mukherjee
{"title":"Algebraic Concordance Order of Almost Classical Knots","authors":"Micah Chrisman, Sujoy Mukherjee","doi":"10.1142/s0218216523500724","DOIUrl":"https://doi.org/10.1142/s0218216523500724","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135868009","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
Minimal Generating Sets of moves for surfaces immersed in the four-space 沉浸在四个空间中的曲面的最小移动生成集
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-11-03 DOI: 10.1142/s0218216523500712
Michal Jablonowski
{"title":"Minimal Generating Sets of moves for surfaces immersed in the four-space","authors":"Michal Jablonowski","doi":"10.1142/s0218216523500712","DOIUrl":"https://doi.org/10.1142/s0218216523500712","url":null,"abstract":"For immersed surfaces in the four-space, we have a generating set of the Swenton--Hughes--Kim--Miller spatial moves that relate singular banded diagrams of ambient isotopic immersions of those surfaces. We also have Yoshikawa--Kamada--Kawauchi--Kim--Lee planar moves that relate marked graph diagrams of ambient isotopic immersions of those surfaces. One can ask if the former moves form a minimal set and if the latter moves form a generating set. In this paper, we derive a minimal generating set of spatial moves for diagrams of surfaces immersed in the four-space, which translates into a generating set of planar moves. We also show that the complements of two equivalent immersed surfaces can be transformed one another by a Kirby calculus not requiring the 1-1-handle or 2-1-handle slides. We also discuss the fundamental group of the immersed surface-link complement in the four-space and a quandle coloring invariant of an oriented immersed surface-link.","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135868970","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
3-bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation 在3桥表示法中，在交替的3桥结上添加交叉点的3桥性
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-11-01 DOI: 10.1142/s0218216523500700
Bo-hyun Kwon, Sungmo Kang
{"title":"3-bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation","authors":"Bo-hyun Kwon, Sungmo Kang","doi":"10.1142/s0218216523500700","DOIUrl":"https://doi.org/10.1142/s0218216523500700","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135221611","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
Memories of Vaughan from his student days and after 对沃恩学生时代及之后的回忆
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-10-27 DOI: 10.1142/s0218216523400308
Timothy Ziman
{"title":"Memories of Vaughan from his student days and after","authors":"Timothy Ziman","doi":"10.1142/s0218216523400308","DOIUrl":"https://doi.org/10.1142/s0218216523400308","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136312449","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
Vaughan Jones at IHES IHES的沃恩·琼斯报道
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-10-20 DOI: 10.1142/s0218216523400278
Dennis Sullivan
{"title":"Vaughan Jones at IHES","authors":"Dennis Sullivan","doi":"10.1142/s0218216523400278","DOIUrl":"https://doi.org/10.1142/s0218216523400278","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135513824","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 Visit in Valparaiso 瓦尔帕莱索之旅
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-10-13 DOI: 10.1142/s021821652340028x
Jesus Juyumaya
{"title":"A Visit in Valparaiso","authors":"Jesus Juyumaya","doi":"10.1142/s021821652340028x","DOIUrl":"https://doi.org/10.1142/s021821652340028x","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135923039","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
Vaughan Jones, student in Geneva 沃恩·琼斯，日内瓦的学生
4区 数学
Journal of Knot Theory and Its Ramifications Pub Date : 2023-10-13 DOI: 10.1142/s0218216523400291
Claude Weber
{"title":"Vaughan Jones, student in Geneva","authors":"Claude Weber","doi":"10.1142/s0218216523400291","DOIUrl":"https://doi.org/10.1142/s0218216523400291","url":null,"abstract":"","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135923036","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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