On Dequantization of Fedosov's Deformation Quantization
Quantum Algebra
2009-11-10 v3
Abstract
To each natural deformation quantization on a Poisson manifold M we associate a Poisson morphism from the formal neighborhood of the zero section of the cotangent bundle to M to the formal neighborhood of the diagonal of the product M x M~, where M~ is a copy of M with the opposite Poisson structure. We call it dequantization of the natural deformation quantization. Then we "dequantize" Fedosov's quantization.
Cite
@article{arxiv.math/0307381,
title = {On Dequantization of Fedosov's Deformation Quantization},
author = {Alexander V. Karabegov},
journal= {arXiv preprint arXiv:math/0307381},
year = {2009}
}
Comments
16 pages, latex; references, terminology, notation, and several typos corrected; to appear in "Letters in Math. Phys."