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Novikov inequalities with symmetry

Maxim Braverman·Michael Farber
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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.

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Maxim Braverman, Michael Farber. 1996-06-20. Novikov inequalities with symmetry. https://arxiv.org/abs/dg-ga/9606008

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