Supergeometry in Equivariant Cohomology
High Energy Physics - Theory
2009-10-31 v1
Abstract
We analyze equivariant cohomology from the supergeometrical point of view. For this purpose we equip the external algebra of given manifold with equivariant even super(pre)symplectic structure, and show, that its Poincare-Cartan invariant defines equivariant Euler classes of surfaces. This allows to derive localization formulae by use of superanalog of Stockes theorem.
Keywords
Cite
@article{arxiv.hep-th/9811110,
title = {Supergeometry in Equivariant Cohomology},
author = {A. Nersessian},
journal= {arXiv preprint arXiv:hep-th/9811110},
year = {2009}
}
Comments
7 pages, to be published in the memorial volume, dedicated to V.I.Ogievetsky