Integrating Poisson manifolds via stacks
| dc.creator | Tseng, Hsian-Hua | |
| dc.creator | Zhu, Chenchang | |
| dc.date | 2004-11-17 | |
| dc.date | 2004-12-01 | |
| dc.date.accessioned | 2026-07-07T06:28:06Z | |
| dc.date.available | 2026-07-07T06:28:06Z | |
| dc.description | A symplectic groupoid $G.:=(G_1 \rightrightarrows G_0)$ determines a Poisson structure on $G_0$. In this case, we call $G.$ a symplectic groupoid of the Poisson manifold $G_0$. However, not every Poisson manifold $M$ has such a symplectic groupoid. This keeps us away from some desirable goals: for example, establishing Morita equivalence in the category of all Poisson manifolds. In this paper, we construct symplectic Weinstein groupoids which provide a solution to the above problem (Theorem \ref{main}). More precisely, we show that a symplectic Weinstein groupoid induces a Poisson structure on its base manifold, and that to every Poisson manifold there is an associated symplectic Weinstein groupoid. | |
| dc.identifier | https://arxiv.org/abs/math/0411370 | |
| dc.identifier | http://arxiv.org/abs/math/0411370 | |
| dc.identifier | Travaux mathematiques, Volume 16 (2005), 285--297 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97614 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53D17 | |
| dc.title | Integrating Poisson manifolds via stacks | |
| dc.type | text |