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

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dc.creatorEynard, Bertrand
dc.creatorOrantin, Nicolas
dc.date2007-05-24
dc.date.accessioned2026-07-07T08:09:22Z
dc.date.available2026-07-07T08:09:22Z
dc.descriptionWe 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}).
dc.descriptionLatex, 9 pages
dc.identifierhttps://arxiv.org/abs/0705.3600
dc.identifierhttp://arxiv.org/abs/0705.3600
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131522
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleWeil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
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