Legendrian knots, transverse knots and combinatorial Floer homology

Peter Ozsváth, Zoltán Szabó, Dylan P. Thurston

Research output: Contribution to journalArticle

48 Scopus citations

Abstract

Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots (or links) in the three-sphere, with values in knot Floer homology. This invariant can also be used to construct an invariant of transverse knots.

Original languageEnglish (US)
Pages (from-to)941-980
Number of pages40
JournalGeometry and Topology
Volume12
Issue number2
DOIs
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Floer homology
  • Legendrian knots

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