Integrability of Poisson brackets
| dc.creator | Crainic, Marius | |
| dc.creator | Fernandes, Rui Loja | |
| dc.date | 2002-10-10 | |
| dc.date | 2003-12-23 | |
| dc.date.accessioned | 2026-07-07T04:51:48Z | |
| dc.date.available | 2026-07-07T04:51:48Z | |
| dc.description | We show that various notions of integrability for Poisson brackets are all equivalent, and we give the precise obstructions to integrating Poisson manifolds. We describe the integration as a symplectic quotient, in the spirit of the Poisson sigma-model of Cattaneo and Felder. For regular Poisson manifolds we express the obstructions in terms of variations of symplectic areas. As an application of these results, we show that a Poisson manifold admits a complete symplectic realization if, and only if, it is integrable. We discuss also the integration of submanifolds and Morita equivalence of Poisson manifolds. | |
| dc.description | 43 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0210152 | |
| dc.identifier | http://arxiv.org/abs/math/0210152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65241 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D17 | |
| dc.title | Integrability of Poisson brackets | |
| dc.type | text |