Knot Floer homology and the fundamental group of $(1,1)$ knots

Abstract

We give an algorithm for computing the knot Floer homology of a $(1,1)$ knot from a particular presentation of its fundamental group.

arXiv comment32 pages, 15 figures

References in corpus (7)

• Knot Floer homology and rational surgeries
• Knot homology groups from instantons
• HF=HM I : Heegaard Floer homology and Seiberg--Witten Floer homology
• HF=HM III: Holomorphic curves and the differential for the ech/Heegaard Floer correspondence
• HF=HM IV: The Seiberg-Witten Floer homology and ech correspondence
• HF=HM II: Reeb orbits and holomorphic curves for the ech/Heegaard-Floer correspondence
• (1,1) L-space knots