Toeplitz operators on symplectic manifolds
Differential Geometry
2008-06-17 v1 Mathematical Physics
Complex Variables
math.MP
Symplectic Geometry
Abstract
We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-classical limit properties of the Berezin-Toeplitz quantization for non-compact manifolds and orbifolds are also established.
Cite
@article{arxiv.0806.2370,
title = {Toeplitz operators on symplectic manifolds},
author = {Xiaonan Ma and George Marinescu},
journal= {arXiv preprint arXiv:0806.2370},
year = {2008}
}
Comments
40 pages