Chromatic weight systems and the corresponding knot invariants
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.q-alg/9701013,
title = {Chromatic weight systems and the corresponding knot invariants},
author = {Jens Lieberum},
journal= {arXiv preprint arXiv:q-alg/9701013},
year = {2008}
}
Comments
35 pages, LaTeX2e