A Combinatorial Model for the Homfly Polynomial
نویسندگان
چکیده
منابع مشابه
A homological definition of the HOMFLY polynomial
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 generalize...
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The Homfly Polynomial for Links in Rational Homology 3-spheres
We construct a polynomial invariant, for links in a large class of rational homology 3-spheres, which generalizes the 2-variable Jones polynomial (HOMFLY). As a consequence, we show that the dual of the HOMFLY skein module of a homotopy 3-sphere is isomorpic to that of the genuine 3-sphere .
متن کاملThe HOMFLY-PT polynomial is fixed-parameter tractable
Many polynomial invariants of knots and links, including the Jones and HOMFLY-PT polynomials, are widely used in practice but #P-hard to compute. It was shown by Makowsky in 2001 that computing the Jones polynomial is fixed-parameter tractable in the treewidth of the link diagram, but the parameterised complexity of the more powerful HOMFLY-PT polynomial remained an open problem. Here we show t...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1990
ISSN: 0195-6698
DOI: 10.1016/s0195-6698(13)80040-6