Deformation quantization of a Kaehler-Poisson structure vanishing on a Levi nondegenerate hypersurface

2006/08/02 by Alexander Karabegov, Alexander V. Karabegov, Karabegov, Alexander V.
Mathematics · #53D55 #Advanced Topics in Algebra #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA #msc:53D55

paper · pdf · doi:10.48550/arxiv.math/0608070

12 pages

arxiv created 2006/08/02 · openalex publication_date 2006/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an elementary proof of the result by Leichtnam, Tang, and Weinstein that there exists a deformation quantization with separation of variables on a complex manifold endowed with a Kaehler-Poisson structure vanishing on a Levi nondegenerate hypersurface and nondegenerate on its complement.

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