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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 403, Pages 58–80
(Mi znsl5248)
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This article is cited in 1 scientific paper (total in 1 paper)
Covers counting via Feynman calculus
M. Karevab a St. Petersburg Department of V. A. Steklov Institute of Mathematics, St. Petersburg, Russia
b Université de Genève, Section de Mathématiques, Carouge, Switzerland
Abstract:
Let $G$ be a finite group. In this paper we present a tool for counting the number of principal $G$-bundles over a surface. As an application, we express (nonstandard) generating functions for the double Hurwitz numbers as integrals over commutative Frobenius algebras associated with symmetric groups.
Key words and phrases:
double Hurwitz numbers, Feynman calculus.
Received: 09.06.2012
Citation:
M. Karev, “Covers counting via Feynman calculus”, Representation theory, dynamical systems, combinatorial methods. Part XXI, Zap. Nauchn. Sem. POMI, 403, POMI, St. Petersburg, 2012, 58–80; J. Math. Sci. (N. Y.), 190:3 (2013), 438–450
Linking options:
https://www.mathnet.ru/eng/znsl5248 https://www.mathnet.ru/eng/znsl/v403/p58
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Abstract page: | 137 | Full-text PDF : | 50 | References: | 25 |
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