Fedosov's formal symplectic groupoids and contravariant connections

JOURNAL OF GEOMETRY AND PHYSICS

卷:56

Article

Karabegov, Alexander V.

关键词: symplectic groupoids;    Poisson manifolds;    contravariant connections;    deformation quantization;   

DOI  :  10.1016/j.geomphys.2005.11.004

来源: Elsevier

【 摘 要 】

Using Fedosov's approach we give a geometric construction of a formal symplectic groupoid over any Poisson manifold endowed with a torsion-free Poisson contravariant connection. In the case of Kahler-Poisson manifolds this construction provides, in particular, the formal symplectic groupoids with separation of variables. We show that the dual of a semisimple Lie algebra does not admit torsion-free Poisson contravariant connections. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free