Publication : t07/065
Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Orantin N. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:Année de publication : 2007
We prove that Mirzakhani's recursions for the volumes of moduli space of Riemann surfaces are a special case of random matrix recursion relations, and therefore we confirm again that Kontsevich's integral is a generating function for those volumes. As an application, we propose a formula for the Weil-Petersson volume Vol({\cal M}_{g,0}).
Preprint : arXiv:0705.3600
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
