Equivariant cohomology and localization for Lie algebroids
  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. 
U. Bruzzo, L. Cirio, P. Rossi (SISSA, Trieste) and V. Rubtsov   (Universite' d'Angers)