Geodesic
A combinatorial description of knot Floer homology
Ciprian Manolescu1 ; Peter Ozsváth1 ; Sucharit Sarkar2
1 Department of Mathematics<br/>Columbia University<br/>New York NY, 10027<br/>United States
2 Department of Mathematics<br/>Princeton University<br/>Princeton, NJ 08544<br/>United States
Annals of mathematics, Tome 169 (2009) no. 2, pp. 633-660.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Given a grid presentation of a knot (or link) $K$ in the three-sphere, we describe a Heegaard diagram for the knot complement in which the Heegaard surface is a torus and all elementary domains are squares. Using this diagram, we obtain a purely combinatorial description of the knot Floer homology of $K$.
DOI : 10.4007/annals.2009.169.633

Ciprian Manolescu 1 ; Peter Ozsváth 1 ; Sucharit Sarkar 2

1 Department of Mathematics<br/>Columbia University<br/>New York NY, 10027<br/>United States
2 Department of Mathematics<br/>Princeton University<br/>Princeton, NJ 08544<br/>United States 
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Ciprian Manolescu; Peter Ozsváth; Sucharit Sarkar. A combinatorial description of knot Floer homology. Annals of mathematics, Tome 169 (2009) no. 2, pp. 633-660. doi : 10.4007/annals.2009.169.633. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.633/

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