Novikov inequalities with symmetry
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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
AMS-TeX, 7 pages To appear in C.R. Acad. Sci. Paris