Geodesic
Matrix factorizations and link homology II
Khovanov, Mikhail1 ; Rozansky, Lev2
1 Department of Mathematics, Columbia University, New York, NY 10027
2 Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599
Geometry & topology, Tome 12 (2008) no. 3, pp. 1387-1425.

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

To a presentation of an oriented link as the closure of a braid we assign a complex of bigraded vector spaces. The Euler characteristic of this complex (and of its triply-graded cohomology groups) is the HOMFLYPT polynomial of the link. We show that the dimension of each cohomology group is a link invariant.

DOI : 10.2140/gt.2008.12.1387
Keywords: link homology, HOMFLY-PT polynomial

Khovanov, Mikhail 1 ; Rozansky, Lev 2

1 Department of Mathematics, Columbia University, New York, NY 10027
2 Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599 
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Khovanov, Mikhail; Rozansky, Lev. Matrix factorizations and link homology II. Geometry & topology, Tome 12 (2008) no. 3, pp. 1387-1425. doi : 10.2140/gt.2008.12.1387. http://geodesic.mathdoc.fr/articles/10.2140/gt.2008.12.1387/

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