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Poisson geometry and Morita equivalence

Henrique Bursztyn·Alan Weinstein
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Abstract

These notes discuss various aspect of the ``representation theory'' of Poisson manifolds, with focus on Morita equivalence and Picard groups. We give a brief introduction to Poisson geometry (including Dirac and twisted Poisson structures) and algebraic Morita theory before presenting the geometric Morita theory of Poisson manifolds. We also point out the connections with the theory of symplectic groupoids and hamiltonian actions.

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Henrique Bursztyn, Alan Weinstein. 2004-03-30. Poisson geometry and Morita equivalence. https://arxiv.org/abs/math/0402347

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