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Article Dans Une Revue Functional Analysis and Its Applications Année : 2009

Equivariant cohomology and localization for Lie algebroids

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Résumé

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.

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Dates et versions

hal-03031597 , version 1 (30-11-2020)

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Ugo Bruzzo, L. Cirio, P. Rossi, Vladimir Roubtsov. Equivariant cohomology and localization for Lie algebroids. Functional Analysis and Its Applications, 2009, 43 (1), pp.18 - 29. ⟨10.1007/s10688-009-0003-4⟩. ⟨hal-03031597⟩
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