Deformation quantization of contact manifolds
Mathematical Physics
2023-01-04 v1 math.MP
Quantum Algebra
Abstract
We extend Fedosov deformation quantization to general contact manifolds. Unlike the case of symplectic manifolds, not every classical observable on a contact manifold is generally quantized. On examination of possible obstructions to quantization, we obtain some new invariants of contact manifolds.
Cite
@article{arxiv.2206.13111,
title = {Deformation quantization of contact manifolds},
author = {Boris M. Elfimov and Alexey A. Sharapov},
journal= {arXiv preprint arXiv:2206.13111},
year = {2023}
}
Comments
18 pages