{"title":"Kauffman bracket skein algebra of the 4-holed disk","authors":"Haimiao Chen","doi":"10.1016/j.jpaa.2025.108049","DOIUrl":null,"url":null,"abstract":"<div><div>We give a monomial basis for the Kauffman bracket skein algebra of the 4-holed disk, and find a presentation. This is based on an insight into the <span><math><mrow><mi>SL</mi></mrow><mo>(</mo><mn>2</mn><mo>,</mo><mi>C</mi><mo>)</mo></math></span>-character variety of the rank 4 free group.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 9","pages":"Article 108049"},"PeriodicalIF":0.8000,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404925001884","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We give a monomial basis for the Kauffman bracket skein algebra of the 4-holed disk, and find a presentation. This is based on an insight into the -character variety of the rank 4 free group.
期刊介绍:
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.