Modular Classes of Lie Groupoid Representations up to Homotopy
Differential Geometry
2015-07-28 v3
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
Cite
@article{arxiv.1502.06253,
title = {Modular Classes of Lie Groupoid Representations up to Homotopy},
author = {Rajan Amit Mehta},
journal= {arXiv preprint arXiv:1502.06253},
year = {2015}
}