Chromatic weight systems and the corresponding knot invariants

1997/01/13 by Lieberum, Jens
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.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.

Related

• Chromatic polynomial and the \mathfrakso weight system
• Universal weight systems from a minimal ℤ₂²-graded Lie algebra
• Generalized chord diagrams and weight systems
• Universal weight systems and the Melvin-Morton expansion of the colored Jones knot invariant
• The universal \mathfrak gl-weight system and the chromatic polynomial