Covers counting via Feynman Calculus

Mathematics – Combinatorics

Scientific paper

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15 pages, 5 figures

Scientific paper

Let $G$ be a finite group. In this paper we present a tool for counting the
number of principle $G$-bundles over a surface. As an application, we express
(non-standard) generating functions for double Hurwitz numbers as integrals
over commutative Frobenius algebras, associated with symmetric groups.

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