Displaying similar documents to “Proper groupoids and momentum maps : linearization, affinity, and convexity”

Orbit projections of proper Lie groupoids as fibrations

Armin Rainer (2009)

Czechoslovak Mathematical Journal

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Let 𝒢 ⇉ M be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection M → M / 𝒢 is a fibration if and only if 𝒢 ⇉ M is regular.

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...