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arxiv: math/0408007 · v3 · submitted 2004-08-02 · 🧮 math.QA

Formal symplectic groupoid of a deformation quantization

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keywords formalgroupoidsymplecticmanifoldalgebraicarbitraryassociatecanonical
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We give a self-contained algebraic description of a formal symplectic groupoid over a Poisson manifold M. To each natural star product on M we then associate a canonical formal symplectic groupoid over M. Finally, we construct a unique formal symplectic groupoid `with separation of variables' over an arbitrary Kaehler-Poisson manifold.

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