On the geometric prequantization of brackets
In this paper we consider a general setting for geometric prequantization of a manifold endowed with a non-necessarily Jacobi bracket. The existence of a generalized foliation permits to define a notion of prequantization bundle. A second approach is given assuming the existence of a Lie algebroid o...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/2229 |
| Acceso en línea: | http://hdl.handle.net/10261/2229 |
| Access Level: | acceso abierto |
| Palabra clave: | Jacobi manifolds Poisson manifolds Lie algebroids H-Chevalley-Eilenberg cohomology Lichnerowicz-Jacobi cohomology Lichnerowicz-Poisson cohomology Foliated cohomology Foliated covariant derivatives Geometric prequantization |
| Sumario: | In this paper we consider a general setting for geometric prequantization of a manifold endowed with a non-necessarily Jacobi bracket. The existence of a generalized foliation permits to define a notion of prequantization bundle. A second approach is given assuming the existence of a Lie algebroid on the manifold. Both approaches are related, and the results for Poisson and Jacobi manifolds are recovered. |
|---|