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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 403, Pages 58–80 (Mi znsl5248)  
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
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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
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 190, Issue 3, Pages 438–450
DOI: https://doi.org/10.1007/s10958-013-1259-z
Bibliographic databases:
Document Type: Article
UDC: 515.162.2
Language: English
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
Citation in format AMSBIB
\Bibitem{Kar12}
\by M.~Karev
\paper Covers counting via Feynman calculus
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXI
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 403
\pages 58--80
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5248}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029580}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 190
\issue 3
\pages 438--450
\crossref{https://doi.org/10.1007/s10958-013-1259-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84880607663}
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  • https://www.mathnet.ru/eng/znsl/v403/p58
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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