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

Tu Quoc Thang Le; Jun Murakami

doi:10.1016/0166-8641(94)00054-7

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

Tu Quoc Thang Le, Jun Murakami^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

77 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 sl_N 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 language	English
Pages (from-to)	193-206
Number of pages	14
Journal	Topology and its Applications
Volume	62
Issue number	2
DOIs	https://doi.org/10.1016/0166-8641(94)00054-7
Publication status	Published - 1995 Mar 24
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Geometry and Topology

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10.1016/0166-8641(94)00054-7

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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.",

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AU - Le, Tu Quoc Thang

AU - Murakami, Jun

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N2 - 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.

AB - 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.

KW - Homfly polynomial

KW - Kontsevich's integral

KW - Zagier's multiple zeta function

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

Abstract

Keywords

ASJC Scopus subject areas

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