2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158805We determine the ring structure of the equivariant quantum cohomology of the Hilbert scheme of points in the complex plane. The operator of quantum multiplication by the divisor class is a nonstationary deformation of the quantum Calogero-Sutherland many-body system. A relationship between the quantum cohomology of the Hilbert scheme and the Gromov-Witten/Donaldson-Thomas correspondence for local curves is proven.Revised version. Results related to Jack symmetric functions moved to an upcoming paperAlgebraic GeometryCombinatoricstext