Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results
Quantum Algebra
2014-11-20 v1 Mathematical Physics
Algebraic Geometry
Complex Variables
math.MP
Abstract
This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kaehler manifolds. The basic objects, concepts, and results are given. This concerns the correct semi-classical limit behaviour of the operator quantization, the unique Berezin-Toeplitz deformation quantization (star product), covariant and contravariant Berezin symbols, and Berezin transform. Other related objects and constructions are also discussed.
Keywords
Cite
@article{arxiv.1003.2523,
title = {Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results},
author = {Martin Schlichenmaier},
journal= {arXiv preprint arXiv:1003.2523},
year = {2014}
}
Comments
32 pages