Holomorphic disks, link invariants and the multivariable Alexander polynomial

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)615-692
Number of pages78
JournalAlgebraic and Geometric Topology
Volume8
Issue number2
DOIs
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Floer homology
  • Link invariant
  • Links
  • Multivariable alexander polynomial

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