A homological definition of the HOMFLY polynomial
Geometric Topology
2014-10-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0608527,
title = {A homological definition of the HOMFLY polynomial},
author = {Stephen Bigelow},
journal= {arXiv preprint arXiv:math/0608527},
year = {2014}
}
Comments
22 pages, 7 figures