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Published online: 2014-12-31
A spectral sequence on lattice homologyPeter Ozsváth, András I. Stipsicz and Zoltán Szabó (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