JournalsqtVol. 5, No. 4pp. 487–521

A spectral sequence on lattice homology

  • Peter S. Ozsváth

    Princeton University, USA

  • András I. Stipsicz

    Hungarian Academy of Sciences, Budapest, Hungary

  • Zoltán Szabó

    Princeton University, USA
A spectral sequence on lattice homology cover
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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.

Cite this article

Peter S. Ozsváth, András I. Stipsicz, Zoltán Szabó, A spectral sequence on lattice homology. Quantum Topol. 5 (2014), no. 4, pp. 487–521

DOI 10.4171/QT/56