Supergeometry in equivariant cohomology
We analyze S 1 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.
KeywordsSymplectic Manifold Symplectic Structure Equivariant Cohomology Exterior Algebra Localization Formula
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