Equivariant cohomology and localization for Lie algebroids

Abstract

Let M be a manifold carrying the action of a Lie group G, and A a Lie algebroid on M equipped with a compatible infinitesimal G-action. Out of these data we construct an equivariant Lie algebroid cohomology and prove for compact G a related localization formula. As an application we prove a Bott-type formula.

16 pages. Final version to appear in Funct. Anal. Appl.