Filtering the Heegaard Floer contact invariant

被引：0

作者：

Kutluhan, Cagatay ^{[1
]}

Mati, Gordana ^{[2
]}

Van Horn-Morris, Jeremy ^{[3
]}

Wand, Andy ^{[4
]}

机构：

[1] Univ Buffalo, Dept Math, Buffalo, NY 14260 USA

[2] Univ Georgia, Dept Math, Athens, GA USA

[3] Univ Arkansas, Dept Math, Fayetteville, AR USA

[4] Univ Glasgow, Sch Math & Stat, Glasgow, Scotland

来源：

GEOMETRY & TOPOLOGY | 2023年 / 27卷 / 06期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

HOLOMORPHIC DISKS; HOMOLOGY; TIGHT; SURGERY; 3-MANIFOLDS; MANIFOLDS; SURFACES; SPHERES;

D O I：

10.2140/gt.2023.27.2181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define an invariant of contact structures in dimension three from Heegaard Floer homology. This invariant takes values in the set Z(>= 0) U{infinity}. It is zero for overtwisted contact structures, infinity for Stein-fillable contact structures, nondecreasing under Legendrian surgery, and computable from any supporting open book decomposition. As an application, we give an easily computable obstruction to Stein-fillability on closed contact 3-manifolds with nonvanishing Ozsvath-Szabo contact class.

引用

页码：2181 / 2236

页数：58

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