From Lie groupoids to resolutions of singularities. Applications to symplectic and Poisson resolutions

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We use the techniques of integration of Poisson manifolds into symplectic Lie groupoids to build symplectic resolutions (= desingularizations) of the closure of a symplectic leaf. More generally, we show how Lie groupoids can be used to lift singularities, in particular when one imposes a compatibility condition with an additional structure given by a multi-vector field.
Paper rewritten. Examples added, some proofs simplified, and a converse theorem added

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Differential Geometry, Symplectic Geometry, 53D99,53D20,22A22

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http://salesiana.dossiersoluciones.com/handle/123456789/142453

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610288
 http://arxiv.org/abs/math/0610288

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arXiv