{"title":"Exotic Dehn twists and homotopy coherent group actions","authors":"Sungkyung Kang, JungHwan Park, Masaki Taniguchi","doi":"arxiv-2409.11806","DOIUrl":null,"url":null,"abstract":"We consider the question of extending a smooth homotopy coherent finite\ncyclic group action on the boundary of a smooth 4-manifold to its interior. As\na result, we prove that Dehn twists along any Seifert homology sphere, except\nthe 3-sphere, on their simply connected positive-definite fillings are infinite\norder exotic.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11806","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the question of extending a smooth homotopy coherent finite
cyclic group action on the boundary of a smooth 4-manifold to its interior. As
a result, we prove that Dehn twists along any Seifert homology sphere, except
the 3-sphere, on their simply connected positive-definite fillings are infinite
order exotic.
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