Novikov inequalities with symmetry

Abstract

We 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. Paris

Cited by in corpus (1)

• Cohomology of a Hamiltonian T-space with involution