Integrability of Lie brackets

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dc.creatorCrainic, Marius
dc.creatorFernandes, Rui L.
dc.date2001-05-04
dc.date2004-02-17
dc.date.accessioned2026-07-07T04:41:35Z
dc.date.available2026-07-07T04:41:35Z
dc.descriptionIn this paper we present the solution to a longstanding problem of differential geometry: Lie's third theorem for Lie algebroids. We show that the integrability problem is controlled by two computable obstructions. As applications we derive, explain and improve the known integrability results, we establish integrability by local Lie groupoids, we clarify the smoothness of the Poisson sigma-model for Poisson manifolds, and we describe other geometrical applications.
dc.description46 pages, published version
dc.identifierhttps://arxiv.org/abs/math/0105033
dc.identifierhttp://arxiv.org/abs/math/0105033
dc.identifierAnn. of Math. (2), Vol. 157 (2003), no. 2, 575--620
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61421
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectSymplectic Geometry
dc.subject53C05
dc.titleIntegrability of Lie brackets
dc.typetext

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