A spectral sequence on lattice homology

Peter Ozsváth; András I. Stipsicz; Zoltán Szabó

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arXiv · 1206.1654

A spectral sequence on lattice homology

Peter Ozsváth·András I. Stipsicz·Zoltán Szabó

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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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Peter Ozsváth, András I. Stipsicz, Zoltán Szabó. 2012-06-08. A spectral sequence on lattice homology. https://arxiv.org/abs/1206.1654

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