Equivariant Novikov inequalities
dg-ga
2008-02-03 v2 Differential Geometry
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 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.
Cite
@article{arxiv.dg-ga/9610015,
title = {Equivariant Novikov inequalities},
author = {M. Braverman and M. Farber},
journal= {arXiv preprint arXiv:dg-ga/9610015},
year = {2008}
}
Comments
AMS-Tex, 23 pages