From Antibracket to Equivariant Characteristic Classes

Abstract

We construct the odd symplectic structure and the equivariant even (pre)symplectic one from it on the space of differential forms on the Riemann manifold. The Poincare -- Cartan like invariants of the second structure define the equivariant generalizations of the Euler classes on the surfaces.

5 pages. The introduction of the paper is revised

Cited by in corpus (3)

• Equivariant Localization of Path Integrals
• Batalin--Vilkovisky Formalism and Odd Symplectic Geometry
• Equivariant Batalin-Vilkovisky formalism