Chromatic weight systems and the corresponding knot invariants |
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Authors: | Jens Lieberum |
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Institution: | (1) Mathematisches Institut, Sidlerstrasse 5, CH-3012 Bern, Switzerland (e-mail: lieberum@math.u-strasbg.fr) , CH |
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Abstract: | We prove 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 and . As a consequence the Vassiliev invariants of knots corresponding to the chromatic weight systems distinguish exactly the
same knots as a one-variable specialization of the Homfly and Kauffman polynomial.
Received: 22 December 1997 / Revised: 18 March 1999 / Published online: 8 May 2000 |
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Keywords: | Mathematics Subject Classification (1991): 57M25 17B10 05C15 |
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