Equivariant Novikov Inequalities

Maxim Braverman, Michael Farber

Research output: Contribution to journalArticlepeer-review


We establish an equivariant generalization of the Novikov inequalities which allows us to estimate the topology of the set of critical points of a closed basic invariant form by means of twisted equivariant cohomology of the manifold. We apply these inequalities to study cohomology of the fixed points set of a symplectic torus action. We show that in this case our inequalities are perfect, i.e. they are in fact equalities.

Original languageEnglish
Pages (from-to)293-318
Number of pages26
Issue number4
StatePublished - Nov 1997


  • Equivariant Morse theory
  • Equivariant cohomology
  • Novikov inequalities


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