Berezin-Toeplitz quantization on Kaehler manifolds
Differential Geometry
2018-06-26 v3 Mathematical Physics
Complex Variables
math.MP
Quantum Algebra
Abstract
We study the Berezin-Toeplitz quantization on Kaehler manifolds. We explain first how to compute various associated asymptotic expansions, then we compute explicitly the first terms of the expansion of the kernel of the Berezin-Toeplitz operators, and of the composition of two Berezin-Toeplitz operators. As application we estimate the norm of Donaldson's Q-operator.
Keywords
Cite
@article{arxiv.1009.4405,
title = {Berezin-Toeplitz quantization on Kaehler manifolds},
author = {Xiaonan Ma and George Marinescu},
journal= {arXiv preprint arXiv:1009.4405},
year = {2018}
}
Comments
45 pages, footnote at page 3 and Remark 0.5 added; v.3 is a final update to agree with the published paper