This article is a review on Berezin‐Toeplitz operator and Berezin‐Toeplitz deformation
quantization for compact quantizable Kähler manifolds. The basic objects, concepts, and …

Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as
phase spaces. They also arise naturally in other mathematical problems, and form a bridge …

Ausgehend vom einfachsten Phasenraum (Ê2n, ω0) mit seiner kanonischen Poisson-
Klammer für die Funktionenalgebra C∞(Ê2n) haben wir sowohl eine geometrische als auch …

We give an elementary proof of the fact that equivalence classes of smooth or differentiable
star products on a symplectic manifold M are parametrized by sequences of elements in the …

A bstract We develop an approach to the study of Coulomb branch operators in 3D\(\mathcal
{N}\)= 4 gauge theories and the associated quantization structure of their Coulomb …

Factorization algebras are local-to-global objects living on manifolds, and they arise
naturally in mathematics and physics. Their local structure encompasses examples like …

For arbitrary compact quantizable Kahler manifolds it is shown how a natural formal
deformation quantization (star-product) can be obtained via Berezin-Toeplitz operators …

In this paper we construct homogeneous star products of Weyl type on every cotangent
bundle T* Q by means of the Fedosov procedure using a symplectic torsion-free connection …

Recently Kontsevich solved the classification problem for deformation quantizations of all
Poisson structures on a manifold. In this paper we study those Poisson structures for which …

These notes grew out of the Quantisation Seminar 1997–1998 on Deligne's paper [P.
Deligne, Déformations de l'algèbre des fonctions d'une variété symplectique: Comparison …