Deformation Quantization with Traces |
| |
Authors: | Felder Giovanni Shoikhet Boris |
| |
Institution: | (1) Department of Mathematics, ETH-Zentrum, 8092 Zürich, Switzerland;(2) IHES, 35, route de Chartres, 91440 Bures-sur-Yvette, France |
| |
Abstract: | In this Letter we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a constant volume form and a Poisson bivector field on
d
such that div=0, the Kontsevich star product with the harmonic angle function is cyclic, i.e.
(f*g)·h·=
(g*h)·f· for any three functions f,g,h on
(for which the integrals make sense). We also prove a globalization of this theorem in the case of arbitrary Poisson manifolds and an arbitrary volume form, and prove a generalization of the Connes–Flato–Sternheimer conjecture on closed star products in the Poisson case. |
| |
Keywords: | deformation quantization star products formality |
本文献已被 SpringerLink 等数据库收录! |
|