{"title":"S2×S2连通和上的奇异光滑结构","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":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":null,\"pages\":null},\"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}","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}
Exotic smooth structures on connected sums of S2×S2
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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