Abstract
We give a new definition of the knot invariant associated to the Lie algebra . Knowing these for all is equivalent to knowing the HOMFLY polynomial. Our definition requires that the knot or link be presented as the plat closure of a braid. The invariant is then a homological intersection pairing between two immersed manifolds in a configuration space of points in a disk. This generalizes previous work on the Jones polynomial, which is the case .
Citation
Stephen Bigelow. "A homological definition of the HOMFLY polynomial." Algebr. Geom. Topol. 7 (3) 1409 - 1440, 2007. https://doi.org/10.2140/agt.2007.7.1409
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