1999/03/05 by Alexander Karabegov, Alexander V. Karabegov, Karabegov, Alexander V.
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #81S10 #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Microtubule and mitosis dynamics #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #msc:81S10
paper · pdf · doi:10.48550/arxiv.math/9903031
11 pages, plain latex file, minor corrections and additions made
openalex publication_date 1999/03/05 · arxiv created 1999/03/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The description of all deformation quantizations with separation of variables on a Kaehler manifold obtained in our earlier paper is used to identify the Fedosov star-product of Wick type constructed by M. Bordemann and S. Waldmann. This star-product is shown to be the one with separation of variables which corresponds to the trivial deformation of the Kaehler form. To this end a formal Fock bundle on a Kaehler manifold is introduced and an associative multiplication on its sections is defined.