KONTSEVICHS INTEGRAL FOR THE HOMFLY POLYNOMIAL AND RELATIONS BETWEEN VALUES OF MULTIPLE ZETA-FUNCTIONS

被引：75

作者：

LE, TQT ^{[1
]}

MURAKAMI, J ^{[1
]}

机构：

[1] MAX PLANCK INST MATH,D-53225 BONN 3,GERMANY

来源：

TOPOLOGY AND ITS APPLICATIONS | 1995年 / 62卷 / 02期

关键词：

KONTSEVICHS INTEGRAL; HOMFLY POLYNOMIAL; ZAGIERS MULTIPLE ZETA FUNCTION;

D O I：

10.1016/0166-8641(94)00054-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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(gamma) by these representations, where gamma is the normalization factor to construct an invariant from the integral. This formula implies relations between values of multiple zeta functions.

引用

页码：193 / 206

页数：14

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