Abstract We give a geometric interpretation of Berezin's symbolic calculus on Kahler manifolds in the framework of geometric quantization. Berezin's covariant symbols are defined in terms of coherent… Expand

We use Berezin’s dequantization procedure to define a formal *- product on a dense subalgebra of the algebra ofsmooth functions on a compact homogeneous Kahler manifold M. We prove that this formal… Expand

We use Berezin's dequantization procedure to define a formal *-product on the algebra of smooth functions on the unit disk in ℂ. We prove that this formal *-product is convergent on a dense… Expand

Abstract These notes grew out of the Quantisation Seminar 1997–1998 on Deligne's paper [P. Deligne, Deformations de l'algebre des fonctions d'une variete symplectique: Comparison entre Fedosov et De… Expand

1. Introduction . The purpose of this note is to apply the Kostant-Souriau quantization theory (2, 3, 4, 5, 7) to construct representations of a semi-direct product.

This article is an overview of the results obtained in recent years on symplectic connections. We present what is known about preferred connections (critical points of a variational principle). The… Expand