On the geometric prequantization of brakets
ISSN: 1578-7303
Any de publicació: 2001
Volum: 95
Número: 1
Pàgines: 65-84
Tipus: Article
Altres publicacions en: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )
Resum
. 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 de_ne 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.