2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133134We 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.Latex, 18 pagesAlgebraic GeometryHigh Energy Physics - TheoryMathematical Physicstext