Berezin-Toeplitz Quantization of compact Kaehler manifolds
q-alg
2016-09-08 v2 alg-geom
dg-ga
funct-an
Mathematical Physics
Algebraic Geometry
Differential Geometry
Functional Analysis
math.MP
Quantum Algebra
Abstract
Invited lecture at the XIV-th workshop on geometric methods in physics, Bialowieza, Poland, July 9-15, 1995. In this lecture results are reviewed obtained by the author together with Martin Bordemann and Eckhard Meinrenken on the Berezin-Toeplitz quantization of compact Kaehler manifolds. Using global Toeplitz operators, approximation results for the quantum operators are shown. From them it follows that the quantum operators have the correct classical limit. A star product deformation of the Poisson algebra is constructed.
Cite
@article{arxiv.q-alg/9601016,
title = {Berezin-Toeplitz Quantization of compact Kaehler manifolds},
author = {Martin Schlichenmaier},
journal= {arXiv preprint arXiv:q-alg/9601016},
year = {2016}
}
Comments
Amstex 2.1, 15 pages, minor changes, some annoying typos removed and 2 references added