dorsal/arxiv
View SchemaChromatic weight systems and the corresponding knot invariants
| Authors | Jens Lieberum |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701013 |
| URL | https://arxiv.org/abs/q-alg/9701013 |
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.
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"abstract": "This paper contains a proof that chromatic weight systems, introduced by\nChmutov, Duzhin and Lando, can be expressed in terms of weight systems\nassociated with direct sums of the Lie algebras gl_n and so_n. As a consequence\nthe Vassiliev invariants of knots corresponding to the chromatic weight systems\ndistinguish exactly the same knots as a one variable specialisation Y of the\nHomfly and Kauffman polynomial.",
"arxiv_id": "q-alg/9701013",
"authors": [
"Jens Lieberum"
],
"categories": [
"q-alg",
"math.QA"
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"title": "Chromatic weight systems and the corresponding knot invariants",
"url": "https://arxiv.org/abs/q-alg/9701013"
},
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