On Dequantization of Fedosov's Deformation Quantization
arXiv:math/0307381 · doi:10.1023/B:MATH.0000004360.04046.3a
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.
16 pages, latex; references, terminology, notation, and several typos corrected; to appear in "Letters in Math. Phys."