Geodesic
Equivariant Cohomology and Localization for Lie Algebroids
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 1, pp. 22-36

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Let $M$ be a manifold carrying the action of a Lie group $G$, and let $A$ be a Lie algebroid on $M$ equipped with a compatible infinitesimal $G$-action. Using these data, we construct an equivariant cohomology of $A$ and prove a related localization formula for the case of compact $G$. By way of application, we prove an analog of the Bott formula.
Mots-clés : Lie algebroid
Keywords: equivariant cohomology, localization formula. 
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     author = {U. Bruzzo and L. Cirio and P. Rossi and V. N. Rubtsov},
     title = {Equivariant {Cohomology} and {Localization} for {Lie} {Algebroids}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {43},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2009_43_1_a1/}
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U. Bruzzo; L. Cirio; P. Rossi; V. N. Rubtsov. Equivariant Cohomology and Localization for Lie Algebroids. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 1, pp. 22-36. http://geodesic.mathdoc.fr/item/FAA_2009_43_1_a1/