曲面上由拓扑盘组成的开盖的泊松括号不变量

IF 0.4 4区数学 Q4 MATHEMATICS

Tokyo Journal of Mathematics Pub Date : 2019-05-20 DOI:10.3836/tjm/1502179384

Kun Shi, Guangcun Lu

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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。

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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.

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来源期刊

Tokyo Journal of Mathematics MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Tokyo Journal of Mathematics was founded in 1978 with the financial support of six institutions in the Tokyo area: Gakushuin University, Keio University, Sophia University, Tokyo Metropolitan University, Tsuda College, and Waseda University. In 2000 Chuo University and Meiji University, in 2005 Tokai University, and in 2013 Tokyo University of Science, joined as supporting institutions.