|
Title
|
|
|
|
Deformation quantization with traces
|
|
|
Author
|
|
|
|
|
|
|
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 Ω and a Poisson bivector field π on R d such that divΩπ=0, the Kontsevich star product with the harmonic angle function is cyclic, i.e. ∫Rd (f*g)·h·Ω=∫ ∫Rd (g*h)·f·Ω for any three functions f,g,h on Rd (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 ConnesFlatoSternheimer conjecture on closed star products in the Poisson case. |
|
|
|
Language
|
|
|
|
English
|
|
|
Source (journal)
|
|
|
|
Letters in mathematical physics. - Dordrecht
|
|
|
Publication
|
|
|
|
Dordrecht
:
2000
|
|
|
ISSN
|
|
|
|
0377-9017
|
|
|
DOI
|
|
|
|
10.1023/A:1026577414320
|
|
|
Volume/pages
|
|
|
|
53
:1
(2000)
, p. 75-86
|
|
|
ISI
|
|
|
|
000165478300007
|
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|
|
Full text (publisher's version - intranet only)
|
|
|
|
|
|