Kontsevich’s integral for the Kauffman polynomial

Kontsevich’s integral for the Kauffman polynomial
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考夫曼多项式的 Kontsevich 积分

DOI:
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发表时间:
1996
影响因子:
0.8
通讯作者:
J. Murakami
J. Murakami
中科院分区:
数学2区
文献类型:
--
作者:
Thang Tu Quoc Le;J. Murakami

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Kontsevich 积分是一个结不变量,其本身包含有限类型的所有结不变量,或瓦西里耶夫不变量。该积分的值位于代数 A0 中,由弦图跨越,服从与 Knizhnik-Zamoodchikov 方程的平坦度相对应的关系,或所谓的无穷小纯辫子关系 [11]。
Kontsevich’s integral is a knot invariant which contains in itself all knot invariants of finite type, or Vassiliev’s invariants. The value of this integral lies in an algebra A0 , spanned by chord diagrams, subject to relations corresponding to the flatness of the Knizhnik-Zamolodchikov equation, or the so called infinitesimal pure braid relations [11].