On the geometric prequantization of brakets
ISSN: 1578-7303
Year of publication: 2001
Volume: 95
Issue: 1
Pages: 65-84
Type: Article
More publications in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )
Abstract
. 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.