Almost Kaehler deformation quantization
Quantum Algebra
2007-05-23 v3 Mathematical Physics
Differential Geometry
math.MP
Symplectic Geometry
Abstract
We use a natural affine connection with nontrivial torsion on an arbitrary almost-Kaehler manifold which respects the almost-Kaehler structure to construct a Fedosov-type deformation quantization on this manifold.
Cite
@article{arxiv.math/0102169,
title = {Almost Kaehler deformation quantization},
author = {Alexander V. Karabegov and Martin Schlichenmaier},
journal= {arXiv preprint arXiv:math/0102169},
year = {2007}
}
Comments
12 Pages, Amslatex, a citation corrected, some additional details added on the derivation of Equ. 4.9, final version to be published