Integrating Lie algebroids via stacks

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dc.creatorTseng, Hsian-Hua
dc.creatorZhu, Chenchang
dc.date2004-05-01
dc.date2006-11-27
dc.date.accessioned2026-07-07T06:36:44Z
dc.date.available2026-07-07T06:36:44Z
dc.descriptionLie 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.
dc.descriptiona proof improved
dc.identifierhttps://arxiv.org/abs/math/0405003
dc.identifierhttp://arxiv.org/abs/math/0405003
dc.identifierCompositio Mathematica, Volume 142 (2006), Issue 01, pp 251-270
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100184
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.titleIntegrating Lie algebroids via stacks
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