2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68196On the basis of Brylinski's work, we introduce a notion of equivariant smooth Deligne cohomology group, which is a generalization of both the ordinary smooth Deligne cohomology and the ordinary equivariant cohomology. Using the cohomology group, we classify equivariant circle bundles with connection, and equivariant gerbes with connection.27 pages. Uses XyPicDifferential GeometryAlgebraic Topologytext