2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152142We establish an equivariant generalization of the Novikov inequalities which allow to estimate the topology of the set of critical points of a closed basic invariant 1-form by means of twisted equivariant cohomology of the manifold. We test and apply our inequalities in the case of a finite group. As an application we obtain Novikov type inequalities for a manifold with boundary.AMS-TeX, 7 pages To appear in C.R. Acad. Sci. ParisDifferential Geometrytext