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Une nouvelle obstruction à l’intégrabilité des variétés de Poisson régulières. (A new obstruction to the integrability of regular Poisson manifolds). (French) Zbl 0756.58017

The paper deals with the problem of universal symplectic integration: Given a Poisson manifold find a global symplectic groupoid (connected and simply connected fibres), which covers the given manifold by a Poisson morphism. After a short but clear survey of the problem and its current status a new necessary condition (obstruction) is formulated and proven.
Reviewer: C.Günther (Libby)

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C80 Applications of global differential geometry to the sciences
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