Supergeometry in Equivariant Cohomology

Details Supergeometry in Equivariant Cohomology Supergeometry in Equivariant Cohomology

1998-11-12

arxiv.org/abs/hep-th/9811110v1

Lect.Notes Phys. 524 (1997) 90-96

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, to be published in the memorial volume, dedicated to V.I.Ogievetsky

Scientific paper

10.1007/BFb0104590

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.

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