{"title":"Exotic smooth structures on connected sums of S2×S2","authors":"Anar Akhmedov, B Doug Park, Sümeyra Sakallı","doi":"10.1093/qmath/haad002","DOIUrl":null,"url":null,"abstract":"Abstract We construct infinitely many distinct irreducible smooth structures on $n(S^2\\,\\times\\,S^2)$, the connected sum of n copies of $S^2\\,\\times\\,S^2$, for every odd integer $n\\geq 27$.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":"112 1","pages":"0"},"PeriodicalIF":0.6000,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/qmath/haad002","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract We construct infinitely many distinct irreducible smooth structures on $n(S^2\,\times\,S^2)$, the connected sum of n copies of $S^2\,\times\,S^2$, for every odd integer $n\geq 27$.
期刊介绍：
The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.
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