A homological definition of the HOMFLY polynomial
نویسندگان
چکیده
We give a new definition of the knot invariant associated to the Lie algebra suNC1 . Knowing these for all N 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 N D 1 .
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