Integrating Lie algebroids via stacks
Abstract
Lie algebroids can not always be integrated into Lie groupoids. We introduce a new object``Weinstein groupoid'', which is a differentiable stack with groupoidlike axioms. With it, we have solved the integration problem of Lie algebroids. It turns out that every Weinstein groupoid has a Lie algebroid and every Lie algebroid can be integrated into a Weinstein groupoid.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2004
 arXiv:
 arXiv:math/0405003
 Bibcode:
 2004math......5003T
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Algebraic Geometry
 EPrint:
 a proof improved