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2008 Legendrian knots, transverse knots and combinatorial Floer homology
Peter Ozsváth, Zoltán Szabó, Dylan P Thurston
Geom. Topol. 12(2): 941-980 (2008). DOI: 10.2140/gt.2008.12.941

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.

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Peter Ozsváth. Zoltán Szabó. Dylan P Thurston. "Legendrian knots, transverse knots and combinatorial Floer homology." Geom. Topol. 12 (2) 941 - 980, 2008. https://doi.org/10.2140/gt.2008.12.941

Information

Received: 21 February 2007; Revised: 5 January 2008; Accepted: 13 February 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1144.57012
MathSciNet: MR2403802
Digital Object Identifier: 10.2140/gt.2008.12.941

Subjects:
Primary: 53D12 , 57R17 , 57R58
Secondary: 57M25

Keywords: Floer homology , Legendrian knots

Rights: Copyright © 2008 Mathematical Sciences Publishers

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