2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78537We prove a localization formula for group-valued equivariant de Rham cohomology of a compact G-manifold. This formula is a non-trivial generalization of the localization formula of Berline-Vergne and Atiyah-Bott for the usual equivariant de Rham cohomology. As an application, we obtain a version of the Duistermaat-Heckman formula for Hamiltonian spaces with group-valued moment maps.31 pagesDifferential GeometryHigh Energy Physics - TheoryQuantum AlgebraGroup-valued equivariant localizationtext