Deformation quantization with traces
Quantum Algebra
2008-01-29 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
In the present paper we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a divergence-free Poisson bivector field on R^d, the Kontsevich star-product with the harmonic angle function is cyclic. We also prove a globalization of this theorem in the case of arbitrary Poisson manifolds and prove a generalization of the Connes-Flato-Sternheimer conjecture on closed star-products in the Poisson case.
Cite
@article{arxiv.math/0002057,
title = {Deformation quantization with traces},
author = {Giovanni Felder and Boris Shoikhet},
journal= {arXiv preprint arXiv:math/0002057},
year = {2008}
}
Comments
14 pages, 2 figures. Discussion of general volume forms corrected