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arXiv:math/0608527 [math.GT]AbstractReferencesReviewsResources

A homological definition of the HOMFLY polynomial

Stephen Bigelow

Published 2006-08-21Version 1

We give a new definition of the knot invariant associated to the Lie algebra su_{N+1}. The knot or link must be presented as the plat closure of a braid. The invariant is then a homological intersection pairing between two submanifolds of a configuration space of points in a disk. This generalizes previous work on the Jones polynomial, which is the case N=1.

Comments: 22 pages, 7 figures
Categories: math.GT
Subjects: 57M25, 57M27, 20F36
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