Symbolic calculus for Toeplitz operators with half-forms
Symplectic Geometry
2007-05-23 v1 Spectral Theory
Abstract
This paper is devoted to the use of half-form bundles in the symbolic calculus of Berezin-Toeplitz operators on Kahler manifolds. We state the Bohr-Sommerfeld conditions and relate them to the functional calculus of Toeplitz operators, a trace formula and the characteristic classes in deformation quantization. We also develop the symbolic calculus of Lagrangian sections, with the crucial estimate of the subprincipal terms.
Cite
@article{arxiv.math/0602167,
title = {Symbolic calculus for Toeplitz operators with half-forms},
author = {L. Charles},
journal= {arXiv preprint arXiv:math/0602167},
year = {2007}
}
Comments
21 pages