Quantum Topology

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Volume 5, Issue 4, 2014, pp. 487–521
DOI: 10.4171/QT/56

Published online: 2014-12-31

A spectral sequence on lattice homology

Peter Ozsváth[1], András I. Stipsicz[2] and Zoltán Szabó[3]

(1) Princeton University, USA
(2) Hungarian Academy of Sciences, Budapest, Hungary
(3) Princeton University, USA

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.

Keywords: Lattice homology, Heegaard Floer homology, spectral sequence

Ozsváth Peter, Stipsicz András, Szabó Zoltán: A spectral sequence on lattice homology. Quantum Topol. 5 (2014), 487-521. doi: 10.4171/QT/56