Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
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DOI：
10.1016/0166-8641(94)00054-7
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发表时间：
1995-03
影响因子：
0.6
通讯作者：
T. T. Q. Le-T.;J. Murakami
中科院分区：
文献类型：
--
作者：
T. T. Q. Le-T.;J. Murakami
通过一个Kauffman型状态模型，利用弦图代数的经典r矩阵表示slNand的弦图代数，研究了Homfly多项式的Kontsevich积分。我们通过这些表示来计算W（γ）的图像的实际值，其中γ是从积分中构造不变量的归一化因子。这个公式暗示了多个ζ函数值之间的关系。
Kontsevich's integral for the Homfly polynomial is studied by using representations of the chord diagram algebras via classical r-matrices for slNand 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.