Quantization of compact symplectic manifolds
Differential Geometry
2017-06-22 v2
Abstract
We develop the theory of Berezin-Toeplitz operator on any compact symplectic prequantizable manifold from scratch. Our main inspiration is the Boutet de Monvel-Guillemin theory, that we simplify in several ways to obtain a concise exposition. A comparison with the spin-c Dirac quantization is also included.
Keywords
Cite
@article{arxiv.1409.8507,
title = {Quantization of compact symplectic manifolds},
author = {Laurent Charles},
journal= {arXiv preprint arXiv:1409.8507},
year = {2017}
}
Comments
Simplified the main proofs on operator composition and added sharp remainder estimates. Version 1 has been published in Journal of Geometric Analysis