曲面上由拓扑盘组成的开盖的泊松括号不变量

Pub Date : 2019-05-20 DOI:10.3836/tjm/1502179384

Kun Shi, Guangcun Lu

{"title":"曲面上由拓扑盘组成的开盖的泊松括号不变量","authors":"Kun Shi, Guangcun Lu","doi":"10.3836/tjm/1502179384","DOIUrl":null,"url":null,"abstract":"L. Buhovsky, A. Logunov and S. Tanny proved the (strong) Poisson bracket conjecture by Leonid Polterovich in dimension 2. In this note, instead of open cover consisting of displaceable sets in their work, we consider open cover constituted of topological discs and give a necessary and suﬃcient condition that Poisson bracket invariants of these covers are positive.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Poisson Bracket Invariant for Open Covers Consisting of Topological Disks on Surfaces\",\"authors\":\"Kun Shi, Guangcun Lu\",\"doi\":\"10.3836/tjm/1502179384\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"L. Buhovsky, A. Logunov and S. Tanny proved the (strong) Poisson bracket conjecture by Leonid Polterovich in dimension 2. In this note, instead of open cover consisting of displaceable sets in their work, we consider open cover constituted of topological discs and give a necessary and suﬃcient condition that Poisson bracket invariants of these covers are positive.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2019-05-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3836/tjm/1502179384\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3836/tjm/1502179384","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

L.Buhovsky、A.Logunov和S.Tanny在维2中证明了Leonid Polterovich的（强）Poisson括号猜想。在本文中，我们考虑由拓扑盘组成的开覆盖，而不是由其工作中的可移位集组成的开盖，并给出了这些覆盖的泊松括号不变量为正的一个充要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

The Poisson Bracket Invariant for Open Covers Consisting of Topological Disks on Surfaces

L. Buhovsky, A. Logunov and S. Tanny proved the (strong) Poisson bracket conjecture by Leonid Polterovich in dimension 2. In this note, instead of open cover consisting of displaceable sets in their work, we consider open cover constituted of topological discs and give a necessary and suﬃcient condition that Poisson bracket invariants of these covers are positive.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助