Document Type

Article

Publication Date

7-25-2015

Publication Title

Symmetry, Integrability and Geometry: Methods and Applications

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

Volume

11

DOI

10.3842/SIGMA.2015.058

Rights

Licensed to Smith College and distributed CC-BY under the Smith College Faculty Open Access Policy.

Comments

This paper is a contribution to the Special Issue on Poisson Geometry in Mathematics and Physics. The full collection is available at http://www.emis.de/journals/SIGMA/Poisson2014.html

Included in

Mathematics Commons

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