2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58810Ekedahl, Lando, Shapiro, and Vainshtein announced a remarkable formula expressing Hurwitz numbers (counting covers of the projective line with specified simple branch points, and specified branching over one other point) in terms of Hodge integrals. We give a proof of this formula using virtual localization on the moduli space of stable maps, and describe how the proof could be simplified by the proper algebro-geometric definition of a "relative space".13 pages, 1 figureAlgebraic Geometry14H10text