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From Antibracket to Equivariant Characteristic Classes

Armen Nersessian

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Equivariant map, Symplectic geometry, Pure mathematics, Mathematics, Differential (mechanical device), Euler's formula, Symplectic manifold, Manifold (fluid mechanics)

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