Integrating Lie algebroids via stacks

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
a proof improved

Keywords

Differential Geometry, Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/100184

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405003
 http://arxiv.org/abs/math/0405003
 Compositio Mathematica, Volume 142 (2006), Issue 01, pp 251-270

Collections

arXiv