Recursion between Mumford volumes of moduli spaces

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dc.creatorEynard, Bertrand
dc.date2007-06-29
dc.date.accessioned2026-07-07T08:14:28Z
dc.date.available2026-07-07T08:14:28Z
dc.descriptionWe propose a new proof, as well as a generalization of Mirzakhani's recursion for volumes of moduli spaces. We interpret those recursion relations in terms of expectation values in Kontsevich's integral, i.e. we relate them to a Ribbon graph decomposition of Riemann surfaces. We find a generalization of Mirzakhani's recursions to measures containing all higher Mumford's kappa classes, and not only kappa1 as in the Weil-Petersson case.
dc.descriptionLatex, 18 pages
dc.identifierhttps://arxiv.org/abs/0706.4403
dc.identifierhttp://arxiv.org/abs/0706.4403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133134
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleRecursion between Mumford volumes of moduli spaces
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