Classification of polarized deformation quantizations

Abstract

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.

40 pages, AMS Latex

References in corpus (1)

• Homogeneous Fedosov Star Products on Cotangent Bundles I: Weyl and Standard Ordering with Differential Operator Representation

Cited by in corpus (1)

• A Universal Construction of Universal Deformation Formulas, Drinfel'd Twists and their Positivity