Geodesic
Legendrian knots, transverse knots and combinatorial Floer homology
Ozsváth, Peter1 ; Szabó, Zoltán2 ; Thurston, Dylan P3
1 Department of Mathematics, Columbia University, New York, NY 10027
2 Department of Mathematics, Princeton University, Princeton, New Jersey 08544
3 Department of Mathematics, Barnard College, Columbia University, New York, NY 10027
Geometry & topology, Tome 12 (2008) no. 2, pp. 941-980.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2008.12.941
Keywords: Legendrian knots, Floer homology

Ozsváth, Peter 1 ; Szabó, Zoltán 2 ; Thurston, Dylan P 3

1 Department of Mathematics, Columbia University, New York, NY 10027
2 Department of Mathematics, Princeton University, Princeton, New Jersey 08544
3 Department of Mathematics, Barnard College, Columbia University, New York, NY 10027 
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Ozsváth, Peter; Szabó, Zoltán; Thurston, Dylan P. Legendrian knots, transverse knots and combinatorial Floer homology. Geometry & topology, Tome 12 (2008) no. 2, pp. 941-980. doi : 10.2140/gt.2008.12.941. http://geodesic.mathdoc.fr/articles/10.2140/gt.2008.12.941/

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