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Modular Classes of Lie Groupoid Representations up to Homotopy
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2015_11_a57,
     author = {Rajan Amit Mehta},
     title = {Modular {Classes} of {Lie} {Groupoid} {Representations} up to {Homotopy}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2015},
     volume = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a57/}
}
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Rajan Amit Mehta. Modular Classes of Lie Groupoid Representations up to Homotopy. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a57/

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