Heegaard!Floer homology and contact structures

被引：156
|
作者：
Ozsváth, P
Szabó, Z
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
来源：
DUKE MATHEMATICAL JOURNAL | 2005年 / 129卷 / 01期
关键词：
D O I：
10.1215/S0012-7094-04-12912-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a contact structure on a closed, oriented three-manifold Y, we describe an invariant that takes values in the three-manifold's Floer homology HF. This invariant vanishes for overtwisted contact structures and is nonzero for Stein-fillable ones. The construction uses Giroux's interpretation of contact structures in terms of open-book decompositions.
引用
收藏
页码：39 / 61
页数：23
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