Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions

Tu Quoc Thang Le, Jun Murakami

Research output: Contribution to journalArticle

71 Citations (Scopus)

Abstract

Kontsevich's integral for the Homfly polynomial is studied by using representations of the chord diagram algebras via classical r-matrices for slN and via a Kauffman type state model. We compute the actual value of the image of W(γ) by these representations, where γ is the normalization factor to construct an invariant from the integral. This formula implies relations between values of multiple zeta functions.

Original languageEnglish
Pages (from-to)193-206
Number of pages14
JournalTopology and its Applications
Volume62
Issue number2
DOIs
Publication statusPublished - 1995 Mar 24
Externally publishedYes

Keywords

  • Homfly polynomial
  • Kontsevich's integral
  • Zagier's multiple zeta function

ASJC Scopus subject areas

  • Geometry and Topology

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