Deformation quantization with traces
Felder, Giovanni ; Shoikhet, Boris
arXiv, 0002057 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-02-08
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  Mathematics - Differential Geometry,  53D55,  16E45 
@article{0002057,
     author = {Felder, Giovanni and Shoikhet, Boris},
     title = {Deformation quantization with traces},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002057}
}

Felder, Giovanni; Shoikhet, Boris. Deformation quantization with traces. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002057/