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Equivariant cohomology and localization for Lie algebroids

TitleEquivariant cohomology and localization for Lie algebroids
Publication TypeJournal Article
Year of Publication2009
AuthorsBruzzo, U, Cirio, L, Rossi, P, Rubtsov, V
JournalFunct. Anal. Appl. 43 (2009) 18-29
ISBN Number978-981-270-377-4
Abstract

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.

URLhttp://hdl.handle.net/1963/1724
DOI10.1007/s10688-009-0003-4

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