2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58942An explicit upper bound for the Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces is obtained, using Penner's combinatorial integration scheme with embedded trivalent graphs. It is shown that for a fixed number of punctures n and for genus g going to infinity, the Weil-Petersson volume of M_{g,n} has an upper bound c^g g^{2g}. Here c is an independent of n constant, which is given explicitly.13 pages, AMSTeX. Version 2: misprints and references corrected.Algebraic Geometrytext