Geodesic
On combinatorial link Floer homology
Manolescu, Ciprian1 ; Ozsváth, Peter1 ; Szabó, Zoltán2 ; Thurston, Dylan P3
1 Department of Mathematics, Columbia University, New York NY 10027, USA
2 Department of Mathematics, Princeton University, Princeton NJ 08544, USA
3 Department of Mathematics, Barnard College, Columbia University, New York NY 10027, USA
Geometry & topology, Tome 11 (2007) no. 4, pp. 2339-2412.

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

Link Floer homology is an invariant for links defined using a suitable version of Lagrangian Floer homology. In an earlier paper, this invariant was given a combinatorial description with mod 2 coefficients. In the present paper, we give a self-contained presentation of the basic properties of link Floer homology, including an elementary proof of its invariance. We also fix signs for the differentials, so that the theory is defined with integer coefficients.

DOI : 10.2140/gt.2007.11.2339
Keywords: Floer homology

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

1 Department of Mathematics, Columbia University, New York NY 10027, USA
2 Department of Mathematics, Princeton University, Princeton NJ 08544, USA
3 Department of Mathematics, Barnard College, Columbia University, New York NY 10027, USA 
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Manolescu, Ciprian; Ozsváth, Peter; Szabó, Zoltán; Thurston, Dylan P. On combinatorial link Floer homology. Geometry & topology, Tome 11 (2007) no. 4, pp. 2339-2412. doi : 10.2140/gt.2007.11.2339. http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.2339/

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