Deformation quantization of contact manifolds

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.

Bibliographic Details
Published in:Letters in mathematical physics Vol. 112, № 6. P. 124 (1-21)
Main Author: Elfimov, Boris M.
Other Authors: Sharapov, Alexey A.
Format: Article
Language:English
Subjects:
Online Access:http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001008514