Integrating Lie algebroids via stacks
Differential Geometry
2007-05-23 v5 Algebraic Geometry
Abstract
Lie algebroids can not always be integrated into Lie groupoids. We introduce a new object--``Weinstein groupoid'', which is a differentiable stack with groupoid-like 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.
Keywords
Cite
@article{arxiv.math/0405003,
title = {Integrating Lie algebroids via stacks},
author = {Hsian-Hua Tseng and Chenchang Zhu},
journal= {arXiv preprint arXiv:math/0405003},
year = {2007}
}
Comments
a proof improved