2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70059We present two approaches to constructing an integration map for smooth Deligne cohomology. The first is defined in the simplicial model, where a class in Deligne cohomology is represented by a simplicial form, and the second in a related but more combinatorial model.28 pages, section on products addedDifferential Geometry55R10; 55N99; 57R22; 53C05Integration of simplicial forms and Deligne cohomologytext