Integrability of Jacobi structures
Abstract
We discuss the integrability of Jacobi manifolds by contact groupoids, and then look at what the Jacobi point of view brings new into Poisson geometry. In particular, using contact groupoids, we prove a Kostanttype theorem on the prequantization of symplectic groupoids, which answers a question posed by Weinstein and Xu \cite{prequan}. The methods used are those of CrainicFernandes on $A$paths and monodromy group(oid)s of algebroids. In particular, most of the results we obtain are valid also in the nonintegrable case.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403268
 Bibcode:
 2004math......3268C
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics;
 Mathematics  Symplectic Geometry
 EPrint:
 25 pages