高维 Heegaard Floer 同调在接触拓扑学中的应用

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2024-07-11 DOI:10.1112/topo.12349

Vincent Colin, Ko Honda, Yin Tian

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引用次数: 0

摘要

本文的目的是建立高维希加弗洛尔同调的一般框架，定义接触类，并利用它给出接触流形的柳维尔可填充性的障碍和温斯坦猜想成立的充分条件。我们讨论了几类例子，包括来自分析交点霍瓦诺夫同调的近亲和横向联系的普拉梅内夫斯卡娅不变量的类似物的例子。

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Applications of higher-dimensional Heegaard Floer homology to contact topology

The goal of this paper is to set up the general framework of higher-dimensional Heegaard Floer homology, define the contact class, and use it to give an obstruction to the Liouville fillability of a contact manifold and a sufficient condition for the Weinstein conjecture to hold. We discuss several classes of examples including those coming from analyzing a close cousin of symplectic Khovanov homology and the analog of the Plamenevskaya invariant of transverse links.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.