A Spectral sequence on lattice homology

Peter Ozsváth, András I. Stipsicz, Zoltán Szabó

Research output: Contribution to journalArticle

8 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 languageEnglish (US)
Pages (from-to)487-521
Number of pages35
JournalQuantum Topology
Volume5
Issue number4
DOIs
StatePublished - 2014

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Geometry and Topology

Keywords

  • Heegaard Floer homology
  • Lattice homology
  • Spectral sequence

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