Irving Dai, Sungkyung Kang, Abhishek Mallick, JungHwan Park, Matthew Stoffregen
{"title":"The $(2,1)$ -cable of the figure-eight knot is not smoothly slice","authors":"Irving Dai, Sungkyung Kang, Abhishek Mallick, JungHwan Park, Matthew Stoffregen","doi":"10.1007/s00222-024-01286-w","DOIUrl":null,"url":null,"abstract":"<p>We prove that the <span>\\((2,1)\\)</span>-cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.</p>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00222-024-01286-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove that the \((2,1)\)-cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
