Deformation quantization with traces
Feb, 2000Citations per year
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.Note:
- 14 pages, 2 figures. Discussion of general volume forms corrected Subj-class: Quantum Algebra: Differential Geometry: Mathematical Physics MSC-class: 53D55: 16E45
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