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G&T Monographs |
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Legendrian knots, transverse knots and combinatorial Floer
homology
Peter Ozsváth, Zoltán Szabó and Dylan P
Thurston
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Geometry and Topology 12:2 (2008)
941–980
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Abstract
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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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Keywords
Legendrian knots, Floer homology
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Mathematical Subject Classification
Primary: 53D12, 57R17, 57R58
Secondary: 57M25
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Publication
Received: 21 February 2007
Revised: 5 January 2008
Accepted: 13 February 2008
Published: 12 May 2008
Proposed: Yasha Eliashberg
Seconded: Tom Mrowka, John Morgan
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