2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107455We present in this paper a differential version of Mirzakhani's recursion relation for the Weil-Petersson volumes of the moduli spaces of bordered Riemann surfaces. We discover that the differential relation, which is equivalent to the original integral formula of Mirzakhani, is a Virasoro constraint condition on a generating function for these volumes. We also show that the generating function for psi and kappa_1 intersections on the moduli space of stable algebraic curves is a 1-parameter solution to the KdV hierarchy. It recovers the Witten-Kontsevich generating function when the parameter is set to be 0.21 pages, 3 figures; v3. new introduction, minor revisionsQuantum AlgebraMathematical PhysicsAlgebraic Geometrytext