2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75315We prove that natural generating functions for enumeration of branched coverings of the pillowcase orbifold are level 2 quasimodular forms. This gives a way to compute the volumes of the strata of the moduli space of quadratic differentials.30 pages, an appendix with examples addedDynamical SystemsAlgebraic GeometryPillowcases and quasimodular formstext