Formal symplectic groupoid of a deformation quantization

Details Formal symplectic groupoid of a deformation quantization Formal symplectic groupoid of a deformation quantization

2004-08-02

arxiv.org/abs/math/0408007v3

Mathematics

Quantum Algebra

41 page, Lemma 13, several typos and notations corrected

Scientific paper

10.1007/s00220-005-1336-3

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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