{"title":"Exotic families of symplectic manifolds with Milnor fibers of ADE-type","authors":"Dongwook Choa, Dogancan Karabas, Sangjin Lee","doi":"10.1007/s00209-024-03542-4","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we give infinitely many diffeomorphic families of different Weinstein manifolds. The diffeomorphic families consist of well-known Weinstein manifolds which are the Milnor fibers of <i>ADE</i>-type, and Weinstein manifolds constructed by taking the end connected sums of Milnor fibers of <i>A</i>-type. In order to distinguish them as Weinstein manifolds, we study how to measure the number of connected components of wrapped Fukaya categories.</p>","PeriodicalId":18278,"journal":{"name":"Mathematische Zeitschrift","volume":"61 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Zeitschrift","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00209-024-03542-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we give infinitely many diffeomorphic families of different Weinstein manifolds. The diffeomorphic families consist of well-known Weinstein manifolds which are the Milnor fibers of ADE-type, and Weinstein manifolds constructed by taking the end connected sums of Milnor fibers of A-type. In order to distinguish them as Weinstein manifolds, we study how to measure the number of connected components of wrapped Fukaya categories.
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