{"title":"Free circle actions on $(n-1)$-connected $(2n+1)$-manifolds","authors":"Yi Jiang, Yang Su","doi":"arxiv-2409.03194","DOIUrl":null,"url":null,"abstract":"In this paper, we determine those $(n-1)$-connected $(2n+1)$-manifolds with\ntorsion free homology that admit free circle actions up to almost\ndiffeomorphism, provided that $n\\equiv5,7 \\mod 8$.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"136 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-05","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-2409.03194","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
In this paper, we determine those $(n-1)$-connected $(2n+1)$-manifolds with
torsion free homology that admit free circle actions up to almost
diffeomorphism, provided that $n\equiv5,7 \mod 8$.
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