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Deformation quantization with traces | | Giovanni Felder
; Boris Shoikhet
; | | Date: |
8 Feb 2000 | | Subject: | Quantum Algebra; Differential Geometry; Mathematical Physics MSC-class: 53D55; 16E45 | math.QA math-ph math.DG math.MP | | Affiliation: | ETH), Boris Shoikhet (IPDE, IHES | | 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. | | Source: | arXiv, math.QA/0002057 | | Services: | Forum | Review | PDF | Favorites | |
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