Holomorphic disks, link invariants and the multi-variable Alexander polynomial

被引：132

作者：

Ozsvath, Peter ^{[1
]}

Szabo, Zoltan ^{[2
]}

机构：

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

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

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2008年 / 8卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.2140/agt.2008.8.615

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The knot Floer homology is an invariant of knots in S(3) whose Euler characteristic is the Alexander polynomial of the knot. In this paper we generalize this to links in S(3) giving an invariant whose Euler characteristic is the multi-variable Alexander polynomial. We study basic properties of this invariant, and give some calculations.

引用

页码：615 / 692

页数：78

共 28 条

[1] Compactness results in Symplectic Field Theory [J].