2002/05/20 by J. Donin, Joseph Donin · 3 citations
Mathematics · #Characteristic class #Class (philosophy) #Deformation (meteorology) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Kähler manifold #Manifold (fluid mechanics) #Symplectic geometry #Symplectic manifold #math.QA
paper · pdf · doi:10.1016/s0393-0440(03)00055-x
published in Journal of Geometry and Physics 48(4), 546-579 (Elsevier BV) · 40 pages, AMS Latex
arxiv created 2002/05/20 · openalex publication_date 2003/05/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.