Document Type

Article

Publication Date

7-25-2015

Publication Title

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

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

Issue

058

First Page

1

Last Page

10

DOI

dx.doi.org/10.3842/SIGMA.2015.058

ISSN

1815-0659

Creative Commons License

Creative Commons Attribution-Share Alike 4.0 License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 License.

Rights

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) is a peer-reviewed open access journal.

Comments

Archived as published.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.