Symmetry, Integrability and Geometry: Methods and Applications
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”.
Lie groupoid, representation up to homotopy, modular class
Licensed to Smith College and distributed CC-BY under the Smith College Faculty Open Access Policy.
Mehta, Rajan Amit, "Modular Classes of Lie Groupoid Representations up to Homotopy?" (2015). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.