The Integration Problem for Complex Lie Algebroids

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dc.creatorWeinstein, Alan
dc.date2006-01-31
dc.date.accessioned2026-07-07T06:59:31Z
dc.date.available2026-07-07T06:59:31Z
dc.descriptionA complex Lie algebroid is a complex vector bundle over a smooth (real) manifold M with a bracket on sections and an anchor to the complexified tangent bundle of M which satisfy the usual Lie algebroid axioms. A proposal is made here to integrate analytic complex Lie algebroids by using analytic continuation to a complexification of M and integration to a holomorphic groupoid. A collection of diverse examples reveal that the holomorphic stacks presented by these groupoids tend to coincide with known objects associated to structures in complex geometry. This suggests that the object integrating a complex Lie algebroid should be a holomorphic stack.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0601752
dc.identifierhttp://arxiv.org/abs/math/0601752
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107773
dc.subjectDifferential Geometry
dc.subject58H05; 32Q99
dc.titleThe Integration Problem for Complex Lie Algebroids
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