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arXiv · 1703.03542

Poisson manifolds and their associated stacks

Joel Villatoro
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Abstract

We associate to any integrable Poisson manifold a stack, i.e. a category fibered in groupoids over a site. The site in question has objects Dirac manifolds and morphisms pairs consisting of a smooth map and a closed 2-form. We show that two Poisson manifolds are symplectically Morita equivalent if and only if their associated stacks are isomorphic.

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Joel Villatoro. 2017-09-28. Poisson manifolds and their associated stacks. https://doi.org/10.1007/s11005-017-1012-5

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