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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 058, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.058 (Mi sigma1039) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Modular Classes of Lie Groupoid Representations up to Homotopy

Rajan Amit Mehta

Department of Mathematics & Statistics, Smith College, 44 College Lane, Northampton, MA 01063, USA
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DOI: https://doi.org/10.3842/SIGMA.2015.058
Abstract: We describe a construction of the modular class associated to a representation up to homotopy of a Lie groupoid. In the case of the adjoint representation up to homotopy, this class is the obstruction to the existence of a volume form, in the sense of Weinstein's “The volume of a differentiable stack”.
Keywords: Lie groupoid; representation up to homotopy; modular class.
Received: February 24, 2015; in final form July 23, 2015; Published online July 25, 2015
Bibliographic databases:
Document Type: Article
MSC: 22A22; 53D17
Language: English
Citation: Rajan Amit Mehta, “Modular Classes of Lie Groupoid Representations up to Homotopy”, SIGMA, 11 (2015), 058, 10 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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