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Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models (0705.3600v1)
Published 24 May 2007 in math-ph, hep-th, math.AG, and math.MP
Abstract: 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}).
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