Combinatorial Heegaard Floer homology and nice Heegaard diagrams

Abstract

We consider a stabilized version of hat Heegaard Floer homology of a 3-manifold Y (i.e. the U=0 variant of Heegaard Floer homology for closed 3-manifolds). We give a combinatorial algorithm for constructing this invariant, starting from a Heegaard decomposition for Y, and give a combinatorial proof of its invariance properties.

References in corpus (2)

• Floer homology and knot complements
• Hamiltonian handleslides for Heegaard Floer homology

Cited by in corpus (2)

• Computing HF^ by factoring mapping classes
• Knots in lattice homology