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 formula
2009
43
1
18
29
https://arxiv.org/abs/math/0506392
http://preprints.sissa.it/xmlui/handle/1963/1724
Bruzzo, U.; Cirio, L.; Rossi, P.; Rubtsov, V.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14019
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