Heavy sets and index bounded relative symplectic cohomology

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-18 DOI:10.1007/s11784-024-01110-1

Yuhan Sun

引用次数: 0

Abstract

We use relative symplectic cohomology to detect heavy sets, with the help of index bounded contact forms. This establishes a relation between two notions SH-heaviness and heaviness, which partly answers a conjecture of Dickstein–Ganor–Polterovich–Zapolsky in the symplectically aspherical setting.

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重集与指数有界相对交映同调

我们借助索引有界接触形式，利用相对交映同调来探测重集。这建立了SH-heaviness和heaviness两个概念之间的关系，部分地回答了迪克斯坦-加诺尔-波尔特洛维奇-扎波斯基在交映非球面环境中的猜想。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.