On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization
type: Item
instance of: scholarly article
title: On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization
zbMATH Open document ID: 0869.53045
DOI: 10.1007/BF02509458
publication date: 1997-04-15T00:00:00Z
review text: In the paper under review, following Fedosov's technique the author constructs a deformation quantization on an arbitrary Kähler manifold. As particular cases he refinds the well-known results of Berezin, Cahen, Gutt and Rawnsley.
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 999680
zbMATH Keywords: Berezin quantization
zbMATH Keywords: deformation quantization
zbMATH Keywords: Kähler manifold
author: A. V. Karabegov
reviewed by: Mircea Puta
MaRDI profile type: Publication
cites work: Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
cites work: Quantization of Kahler Manifolds. II
cites work: Quantization of Kähler manifolds. III
cites work: Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
cites work: Weyl manifolds and deformation quantization
full work available at URL: https://doi.org/10.1007/bf02509458
OpenAlex ID: W1965341625
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 999680