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arxiv: math/0205211 · v1 · submitted 2002-05-20 · 🧮 math.QA

Classification of polarized deformation quantizations

classification 🧮 math.QA
keywords classdeformationpolarizedclassificationpolarizationquantizationscharacteristicchern
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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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