Colored graphs and matrix integrals

被引：0
|
作者：
I. V. Artamkin
机构：
[1] State University-Higher School of Economics,Faculty of Mathematics
来源：
Proceedings of the Steklov Institute of Mathematics | 2009年 / 264卷
关键词：
Asymptotic Expansion; STEKLOV Institute; Formal Power Series; Betti Number; Orientable Surface;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss applications of generating functions for colored graphs to asymptotic expansions of matrix integrals. The described technique provides an asymptotic expansion of the Kontsevich integral. We prove that this expansion is a refinement of the Kontsevich expansion, which is the sum over the set of classes of isomorphic ribbon graphs. This yields a proof of Kontsevich’s results that is independent of the Feynman graph technique.
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页码：2 / 17
页数：15
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