On combinatorial link Floer homology

被引：75

作者：

Manolescu, Ciprian ^{[1
]}

Ozsvath, Peter

Szabo, Zoltan

Thurston, Dylan

机构：

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

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

[3] Columbia Univ, Bard Coll, Dept Math, New York, NY 10027 USA

来源：

GEOMETRY & TOPOLOGY | 2007年 / 11卷

关键词：

HOLOMORPHIC DISKS;

D O I：

10.2140/gt.2007.11.2339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Link Floer homology is an invariant for links defined using a suitable version of Lagrangian Floer homology. In an earlier paper, this invariant was given a combinatorial description with mod 2 coefficients. In the present paper, we give a self-contained presentation of the basic properties of link Floer homology, including an elementary proof of its invariance. We also fix signs for the differentials, so that the theory is defined with integer coefficients.

引用

页码：2339 / 2412

页数：74

共 17 条

[1]

[Anonymous], 2003, THESIS HARVARD U

[2]

Baldwin J. A., COMPUTATIONS HEEGAAR

[3] EMBEDDING KNOTS AND LINKS IN AN OPEN-BOOK .1. BASIC PROPERTIES [J].