Modular Classes of Lie Groupoid Representations up to Homotopy

25 Jul 2015  ·  Mehta Rajan Amit ·

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"...

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Differential Geometry