Pruned Hurwitz numbers
Geometric Topology
2013-12-31 v1 Combinatorics
Abstract
We define a new Hurwitz problem which is essentially a small core of the simple Hurwitz problem. The corresponding Hurwitz numbers have simpler formulae, satisfy effective recursion relations and determine the simple Hurwitz numbers. We also apply this idea of finding a smaller simpler enumerative problem to orbifold Hurwitz numbers and Belyi Hurwitz numbers.
Keywords
Cite
@article{arxiv.1312.7516,
title = {Pruned Hurwitz numbers},
author = {Norman Do and Paul Norbury},
journal= {arXiv preprint arXiv:1312.7516},
year = {2013}
}
Comments
26 pages