A Spectral sequence on lattice homology

Peter Ozsváth, András I. Stipsicz, Zoltán Szabó

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)487-521
Number of pages35
JournalQuantum Topology
Volume5
Issue number4
DOIs
Publication statusPublished - Jan 1 2014

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Keywords

  • Heegaard Floer homology
  • Lattice homology
  • Spectral sequence

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology

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