The Lie group of bisections of a Lie groupoid

Alexander Schmeding, Christoph Wockel

Published 2014-09-04Version 1

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.