Journal
GEOMETRY & TOPOLOGY
Volume 12, Issue -, Pages 1387-1425Publisher
GEOMETRY & TOPOLOGY PUBLICATIONS
DOI: 10.2140/gt.2008.12.1387
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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.
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