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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2229| Title: | On the geometric prequantization of brackets Precuantización geométrica de corchetes |
| Keywords: | Jacobi manifolds Poisson manifolds Lie algebroids H-Chevalley-Eilenberg cohomology Lichnerowicz-Jacobi cohomology Lichnerowicz-Poisson cohomology Foliated cohomology Foliated covariant derivatives Geometric prequantization |
| Publisher: | Real Academia de Ciencias Exactas, Físicas y Naturales (Madrid) |
| Description: | 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. En este artículo se considera un marco general para la precuantización geométrica de una variedad provista de un corchete que no es necesariamente de Jacobi. La existencia de una foliación generalizada permite definir una noción de fibrado de precuantización. Se estudia una aproximación alternativa suponiendo la existencia de un algebroide de Lie sobre la variedad. Se relacionan ambos enfoques y se recuperan los resultados conocidos para variedades de Poisson y Jacobi. This work has been partially supported through grants DGICYT (Spain) (Project PB94-0106) and University of La Laguna (Spain). Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2229 |
| Other Identifiers: | RACSAM, 2001, 95 (1): 65-83. 1578-7303 http://hdl.handle.net/10261/2229 |
| Appears in Collections: | Digital Csic |
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