2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150019We describe a construction of Gromov-Witten invariants for flag varieties and use it to give a presentation for the quantum cohomology ring, by extending the ideas used by Bertram in the case of Grassmannians. This provides a proof for the conjecture of Givental and Kim in [GK].AMSTeXAlgebraic Geometrytext