2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71276Let M be a Hamiltonian T space with a proper moment map, bounded below in some component. In this setting, we give a combinatorial description of the T-equivariant cohomology of M, extending results of Goresky, Kottwitz and MacPherson and techniques of Tolman and Weitsman. Moreover, when M is equipped with an antisymplectic involution σanticommuting with the action of T, we also extend to this noncompact setting the ``mod 2'' versions of these results to the real locus Q:= M^σof M. We give applications of these results to the theory of hypertoric varieties.27 pages, 10 figuresDifferential GeometrySymplectic Geometry55N91 (primary); 53C26, 05C90 (secondary)text