A Spectral sequence on lattice homology

Peter Ozsváth; András I. Stipsicz; Zoltán Szabó

doi:10.4171/QT/56

A Spectral sequence on lattice homology

Peter Ozsváth, András I. Stipsicz, Zoltán Szabó

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English (US)
Pages (from-to)	487-521
Number of pages	35
Journal	Quantum Topology
Volume	5
Issue number	4
DOIs	https://doi.org/10.4171/QT/56
State	Published - 2014

All Science Journal Classification (ASJC) codes

Mathematical Physics
Geometry and Topology

Keywords

Heegaard Floer homology
Lattice homology
Spectral sequence

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10.4171/QT/56

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title = "A Spectral sequence on lattice homology",

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.",

keywords = "Heegaard Floer homology, Lattice homology, Spectral sequence",

author = "Peter Ozsv{\'a}th and Stipsicz, {Andr{\'a}s I.} and Zolt{\'a}n Szab{\'o}",

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journal = "Quantum Topology",

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T1 - A Spectral sequence on lattice homology

AU - Ozsváth, Peter

AU - Stipsicz, András I.

AU - Szabó, Zoltán

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Heegaard Floer homology

KW - Lattice homology

KW - Spectral sequence

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JF - Quantum Topology

IS - 4

ER -

A Spectral sequence on lattice homology

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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