• Corpus ID: 119152339

Integrability of Jacobi structures

  title={Integrability of Jacobi structures},
  author={Marius Crainic and C. Zhu},
  journal={arXiv: Differential Geometry},
  • M. CrainicC. Zhu
  • Published 16 March 2004
  • Mathematics
  • arXiv: Differential Geometry
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 \cite{prequan}. 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… 

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