Classification of polarized deformation quantizations

[摘要] We give a classification of polarized deformation quantizations (PDQs) on a symplectic manifold with a (complex) polarization. Also, we establish a formula which relates the characteristic class of a PDQ to its Fedosov class and to the Chem class of the polarization. (C) 2003 Elsevier Science B.V. All rights reserved.

[发布日期] 2003-12-01

[关键词] deformation quantization;star-product;symplectic manifold;polarization