Supergeometry in Equivariant Cohomology

Abstract

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.

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

References in corpus (3)

• Supersymmetry and localization
• Quantum antibrackets
• Some General Aspects of Coset Models and Topological Kazama-Suzuki Models

Cited by in corpus (3)

• A note on N=4 supersymmetric mechanics on Kähler manifolds
• Elements of (super-)Hamiltonian Formalism
• Poisson structures in BRST-antiBRST invariant Lagrangian formalism