The knot Floer homology is a ninvarian to fkno t s i n S 3 w h o s e E u l e r 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.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Floer homology
- Link invariant
- Multivariable alexander polynomial