Classification of polarized deformation quantizations

Details Classification of polarized deformation quantizations Classification of polarized deformation quantizations

2002-05-20

arxiv.org/abs/math/0205211v1

Mathematics

Quantum Algebra

40 pages, AMS Latex

Scientific paper

10.1016/S0393-0440(03)00055-X

We give a classification of polarized deformation quantizations on a
symplectic manifold with a (complex) polarization. Also, we establish a formula
which relates the characteristic class of a polarized deformation quantization
to its Fedosov class and the Chern class of the polarization.

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