#### Volume 8, issue 2 (2008)

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

### Peter Ozsváth and Zoltán Szabó

Algebraic & Geometric Topology 8 (2008) 615–692
##### Abstract

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.