2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67250We give two proofs of a conjecture of Hori and Vafa which expresses the J-function (i.e, the generating function for 1-point descendant Gromov-Witten invariants) of a Grassmannian in terms of the J-function of a product of projective spaces. Similar relations are obtained for two-point descendants, and three-point (primary) Gromov-Witten invariants. As an application we prove Givental's "R-Conjecture" - hence the Virasoro conjecture - for Grassmannians.34 pages, no figuresAlgebraic GeometryHigh Energy Physics - Theory14N35,14M15text