Equivariant Novikov inequalities

Details Equivariant Novikov inequalities Equivariant Novikov inequalities

1996-10-26

arxiv.org/abs/dg-ga/9610015v2

Mathematics

Differential Geometry

AMS-Tex, 23 pages

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 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.

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