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
Equivariant cohomology and localization for Lie algebroids / Bruzzo, U.; Cirio, L.; Rossi, P.; Rubtsov, V.. - In: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS. - ISSN 0016-2663. - 43:1(2009), pp. 18-29. [10.1007/s10688-009-0003-4]
Equivariant cohomology and localization for Lie algebroids
Bruzzo, U.;
2009-01-01
Abstract
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 formulaFile in questo prodotto:
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