Equivariant cohomology and localization for Lie algebroids

Details Equivariant cohomology and localization for Lie algebroids Equivariant cohomology and localization for Lie algebroids

2005-06-20

arxiv.org/abs/math/0506392v3

Funct. Anal. Appl. 43 (2009) 18-29

Mathematics

Differential Geometry

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

Scientific paper

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.

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