Displaying similar documents to “Exact Lie Bialgebroids and Poisson Groupoids.”

Integrability of Jacobi and Poisson structures

Marius Crainic, Chenchang Zhu (2007)

Annales de l’institut Fourier

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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 Kostant-type theorem on the prequantization of symplectic groupoids, which answers a question posed by Weinstein and Xu. The methods used are those of Crainic-Fernandes on A -paths and monodromy group(oid)s of algebroids. In particular, most of the results we obtain are valid also in the...