The Lie group of bisections of a Lie groupoid
Differential Geometry
2016-01-07 v2 Group Theory
Abstract
In this article we endow the group of bisections of a Lie groupoid with compact base with a natural locally convex Lie group structure. Moreover, we develop thoroughly the connection to the algebra of sections of the associated Lie algebroid and show for a large class of Lie groupoids that their groups of bisections are regular in the sense of Milnor.
Cite
@article{arxiv.1409.1428,
title = {The Lie group of bisections of a Lie groupoid},
author = {Alexander Schmeding and Christoph Wockel},
journal= {arXiv preprint arXiv:1409.1428},
year = {2016}
}
Comments
31 pages, LaTex, v2: corrected several typos and added some remarks, the main results remain unchanged