Formulae for calculating Hurwitz numbers
Algebraic Geometry
2020-02-25 v1 Combinatorics
Abstract
In this paper, we aim to provide an accessible survey to various formulae for calculating single Hurwitz numbers. Single Hurwitz numbers count certain classes of meromorphic functions on complex algebraic curves and have a rich geometric structure behind them which has attracted many mathematicians and physicists. Formulation of the enumeration problem is purely of topological nature, but with connections to several modern areas of mathematics and physics.
Keywords
Cite
@article{arxiv.2002.09871,
title = {Formulae for calculating Hurwitz numbers},
author = {Jared Ongaro},
journal= {arXiv preprint arXiv:2002.09871},
year = {2020}
}
Comments
25 pages