Parallel version of the universal Vassiliev-Kontsevich invariant

Thang T.Q. Le, Jun Murakami

研究成果: Article査読

33 被引用数 (Scopus)

抄録

Let Ẑf be the universal Vassiliev-Kontsevich invariant for framed links in [13], which is a generalization of Kontsevich's invariant in [10, 1]. Let K be a framed knot and K(r) be its r-parallel. Then we show Ẑf(K(r)) = Δ(r)(Ẑf(K)), where Δ(r) is an operation of chord diagrams which replace the Wilson loop by r copies. We calculate the values of Ẑf of the Hopf links and the change of Ẑf under the Kirby moves. An explicit formula of an important normalization factor, which is the value of the trivial knot, in the universal enveloping algebra U(g) of any Lie algebra is given.

本文言語English
ページ(範囲)271-291
ページ数21
ジャーナルJournal of Pure and Applied Algebra
121
3
DOI
出版ステータスPublished - 1997 10 10
外部発表はい

ASJC Scopus subject areas

  • Algebra and Number Theory

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