A matrix model for simple Hurwitz numbers, and topological recursion

Details A matrix model for simple Hurwitz numbers, and topological recursion A matrix model for simple Hurwitz numbers, and topological recursion

2009-06-05

arxiv.org/abs/0906.1206v1

Physics

Mathematical Physics

24 pages, 3 figures

Scientific paper

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).

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