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arXiv:math/0405003 [math.DG]AbstractReferencesReviewsResources

Integrating Lie algebroids via stacks

Hsian-Hua Tseng, Chenchang Zhu

Published 2004-05-01, updated 2006-11-27Version 5

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.

Comments: a proof improved
Journal: Compositio Mathematica, Volume 142 (2006), Issue 01, pp 251-270
Categories: math.DG, math.AG
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