{"title":"波罗曼链接的 $${rm SL}(2,\\mathbb{C})$$-特征变种","authors":"H. Chen, T. Yu","doi":"10.1007/s10474-024-01445-8","DOIUrl":null,"url":null,"abstract":"<div><p>For the Borromean link, we determine its irreducible <span>\\({\\rm SL}(2,\\mathbb{C})\\)</span>-character variety, and find a formula for the twisted Alexander polynomial as a function on the character variety.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"414 - 433"},"PeriodicalIF":0.6000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The \\\\({\\\\rm SL}(2,\\\\mathbb{C})\\\\)-character variety of the Borromean link\",\"authors\":\"H. Chen, T. Yu\",\"doi\":\"10.1007/s10474-024-01445-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>For the Borromean link, we determine its irreducible <span>\\\\({\\\\rm SL}(2,\\\\mathbb{C})\\\\)</span>-character variety, and find a formula for the twisted Alexander polynomial as a function on the character variety.</p></div>\",\"PeriodicalId\":50894,\"journal\":{\"name\":\"Acta Mathematica Hungarica\",\"volume\":\"173 2\",\"pages\":\"414 - 433\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Hungarica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10474-024-01445-8\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01445-8","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
The \({\rm SL}(2,\mathbb{C})\)-character variety of the Borromean link
For the Borromean link, we determine its irreducible \({\rm SL}(2,\mathbb{C})\)-character variety, and find a formula for the twisted Alexander polynomial as a function on the character variety.
期刊介绍：
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.
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