✦ LIBER ✦

Bracket models for weight systems and the universal Vassiliev invariants

✍ Scribed by Guowu Meng

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 711 KB
Volume: 76
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00092-2

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✦ Synopsis

A bracket weight system is constructed.

Three of its applications are given. The first is an observation of some special properties of HOMFLY and Kauffman polynomials. The second is an observation of an infinite set of nontrivial combinatorial identities. The third is a dimension formula and the computation of the universal invariant up to 12' for all prime knots with crossing number less than IO.