Publication : t09/055
A matrix model for simple Hurwitz numbers, and topological recursion
Borot G. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)Eynard B. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Mulase M. (UC Davis)
Safnuk B. (Dept. of Mathematics & Statistics McMaster University 1280 Main Street West Hamilton, Ontario Canada L8S 4K1)
Abstract:Année de publication : 2011
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).
Revue : J. Geom. Phys. 61 522-540 (2011)
Preprint : arXiv:0906.1206
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
