{"title":"连接$(2n+1)$网格的$(n-1)$自由圆作用","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":"{\"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}","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}
Free circle actions on $(n-1)$-connected $(2n+1)$-manifolds
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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