2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229923In his book (II.5), Connes gives a proof of the Atiyah-Singer index theorem for closed manifolds by using deformation groupoids and appropiate actions of these on R^N. Following these ideas, we prove an index theorem for manifolds with boundary.6 pages. Preprint submitted to the Academie des SciencesK-Theory and HomologyDifferential Geometry19k56;53C10An index theorem for manifolds with boundarytext