{"title":"Classification of a family of ribbon 2-knots with trivial Alexander polynomial","authors":"T. Kanenobu, Toshio Sumi","doi":"10.4134/CKMS.C170222","DOIUrl":null,"url":null,"abstract":"We consider a family of ribbon 2-knots with trivial Alexander polynomial. We give nonabelian SL(2, C)-representations from the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":"33 1","pages":"591-604"},"PeriodicalIF":0.5000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications of the Korean Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4134/CKMS.C170222","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 5
Abstract
We consider a family of ribbon 2-knots with trivial Alexander polynomial. We give nonabelian SL(2, C)-representations from the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.
期刊介绍：
This journal endeavors to publish significant research and survey of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of four issues (January, April, July, October).
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