2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111557We give a short and direct proof of the $λ_g$-Conjecture. The approach is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the ``polynomiality'' of Hurwitz numbers, from which we pick off the lowest degree terms. The proof is independent of Gromov-Witten theory. We briefly describe the philosophy behind our general approach to intersection numbers and how it may be extended to other intersection number conjectures.Algebraic GeometryCombinatoricsPrimary 14H10, Secondary 05E99text