{"title":"具有 ADE 型米尔诺纤维的奇异交点流形族","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":"{\"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}","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
摘要
本文给出了不同韦恩斯坦流形的无穷多个衍射族。这些衍射族包括著名的韦恩斯坦流形,即 ADE 型的米尔诺纤维,以及通过取 A 型米尔诺纤维的末端连通和构造的韦恩斯坦流形。为了将它们区分为韦恩斯坦流形,我们研究了如何测量包裹的 Fukaya 类的连通成分数。
Exotic families of symplectic manifolds with Milnor fibers of ADE-type
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.