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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 1, Pages 22–36
DOI: https://doi.org/10.4213/faa2940 (Mi faa2940) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Equivariant Cohomology and Localization for Lie Algebroids

U. Bruzzoab, L. Cirioab, P. Rossib, V. N. Rubtsovcd

a Scuola Internazionale Superiore di Studi Avanzati, Trieste
b Istituto Nazionale di Fisica Nucleare, Sezione di Trieste
c Institute for Theoretical and Experimental Physics, Moscow
d Université d'Angers, Département de Mathématiques
Full-text PDF (285 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa2940
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.
Keywords: Lie algebroid, equivariant cohomology, localization formula.
Received: 17.01.2006
Revised: 28.06.2008
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 1, Pages 18–29
DOI: https://doi.org/10.1007/s10688-009-0003-4
Bibliographic databases:
Document Type: Article
UDC: 514.762.32
Language: Russian
Citation: U. Bruzzo, L. Cirio, P. Rossi, V. N. Rubtsov, “Equivariant Cohomology and Localization for Lie Algebroids”, Funktsional. Anal. i Prilozhen., 43:1 (2009), 22–36; Funct. Anal. Appl., 43:1 (2009), 18–29
Citation in format AMSBIB
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\paper Equivariant Cohomology and Localization for Lie Algebroids
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\pages 22--36
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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