An algorithm for computing some Heegaard Floer homologies

2006/07/31 by Sucharit Sarkar, Jiajun Wang, Sarkar, Sucharit +1 · 6 citations
Mathematics · Medicine · #57R58 #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57R58

paper · pdf · doi:10.48550/arxiv.math/0607777

20 pages, 20 figures. The paper used to be known as "A combinatorial description of some Heegaard Floer homologies". Minor changes. This version to appear in Annals of Mathematics

openalex publication_date 2006/07/31 · arxiv created 2008/09/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give an algorithm to compute the hat version of the Heegaard Floer homology of a closed oriented three-manifold. This method also allows us to compute the filtrations coming from a null-homologous link in a three-manifold.

Citations

• Floer homology and knot complements
• Holomorphic disks and knot invariants
• Holomorphic disks and topological invariants for closed three-manifolds

Cited by

• A note on real Heegaard Floer homology and localization
• Heegaard Floer theory and pseudo-Anosov flows II: Differential and Fried pants
• Topological algebra of symplectic geometry of symmetric powers
• Topics in Heegaard Floer homology
• The next-to-top term of the knot Floer homology of some non-fibered knots
• Floer homology and surface decompositions
• Building Foliations from Heegaard Diagrams

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• An algorithm for computing some Heegaard Floer homologies
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