A homological definition of the HOMFLY polynomial

Details A homological definition of the HOMFLY polynomial A homological definition of the HOMFLY polynomial

2006-08-21

arxiv.org/abs/math/0608527v1

Mathematics

Geometric Topology

22 pages, 7 figures

Scientific paper

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.

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