{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10474-024-01445-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01445-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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.