A spectral sequence on lattice homology

2012/06/08 by Peter Ozsváth, András I. Stipsicz, Ozsváth, Peter +3
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.1206.1654

25 pages, 1 figure

arxiv created 2012/06/08 · arxiv updated 2012/06/11

Abstract

Using the link surgery formula for Heegaard Floer homology we find a spectral sequence from the lattice homology of a plumbing tree to the Heegaard Floer homology of the corresponding 3-manifold. This spectral sequence shows that for graphs with at most two "bad" vertices, the lattice homology is isomorphic to the Heegaard Floer homology of the underlying 3-manifold.

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