Novikov inequalities with symmetry

Details Novikov inequalities with symmetry Novikov inequalities with symmetry

1996-06-20

arxiv.org/abs/dg-ga/9606008v1

Mathematics

Differential Geometry

AMS-TeX, 7 pages To appear in C.R. Acad. Sci. Paris

Scientific paper

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.

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