Legendrian knots, transverse knots and combinatorial Floer homology

被引：70

作者：

Ozsvath, Peter

Szabo, Zoltan ^{[2
]}

Thurston, Dylan ^{[1
]}

机构：

[1] Columbia Univ Barnard Coll, Dept Math, New York, NY 10027 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

GEOMETRY & TOPOLOGY | 2008年 / 12卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.2140/gt.2008.12.941

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots (or links) in the three-sphere, with values in knot Floer homology. This invariant can also be used to construct an invariant of transverse knots.

引用

页码：941 / 980

页数：40

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