Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models

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We show that Mirzakhani's recursions for the volumes of moduli space of Riemann surfaces are a special case of random matrix loop equations, and therefore we confirm again that Kontsevitch's integral is a generating function for those volumes. As an application, we propose a formula for the Weil-Petersson volume Vol(M_{g,0}).
Latex, 9 pages

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Mathematical Physics, High Energy Physics - Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/131522

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.3600
 http://arxiv.org/abs/0705.3600

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arXiv