Covers counting via Feynman Calculus
Combinatorics
2012-04-12 v1
Abstract
Let be a finite group. In this paper we present a tool for counting the number of principle -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.
Keywords
Cite
@article{arxiv.1204.2480,
title = {Covers counting via Feynman Calculus},
author = {Maksim Karev},
journal= {arXiv preprint arXiv:1204.2480},
year = {2012}
}
Comments
15 pages, 5 figures