Chromatic weight systems and the corresponding knot invariants

Details Chromatic weight systems and the corresponding knot invariants Chromatic weight systems and the corresponding knot invariants

1997-01-13

arxiv.org/abs/q-alg/9701013v1

Mathematics

Quantum Algebra

35 pages, LaTeX2e

Scientific paper

This paper contains a proof that chromatic weight systems, introduced by Chmutov, Duzhin and Lando, can be expressed in terms of weight systems associated with direct sums of the Lie algebras gl_n and so_n. As a consequence the Vassiliev invariants of knots corresponding to the chromatic weight systems distinguish exactly the same knots as a one variable specialisation Y of the Homfly and Kauffman polynomial.

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