A matrix model for simple Hurwitz numbers, and topological recursion
Mathematical Physics
2015-05-13 v1 High Energy Physics - Theory
math.MP
Abstract
We introduce a new matrix model representation for the generating function of simple Hurwitz numbers. We calculate the spectral curve of the model and the associated symplectic invariants developed in [Eynard-Orantin]. As an application, we prove the conjecture proposed by Bouchard and Marino, relating Hurwitz numbers to the spectral invariants of the Lambert curve exp(x)=y exp(-y).
Keywords
Cite
@article{arxiv.0906.1206,
title = {A matrix model for simple Hurwitz numbers, and topological recursion},
author = {G. Borot and B. Eynard and M. Mulase and B. Safnuk},
journal= {arXiv preprint arXiv:0906.1206},
year = {2015}
}
Comments
24 pages, 3 figures