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Mathematics > Quantum Algebra

arXiv:math/0002057 (math)
[Submitted on 8 Feb 2000 (v1), last revised 30 May 2000 (this version, v2)]

Title:Deformation quantization with traces

Authors:Giovanni Felder (ETH), Boris Shoikhet (IPDE, IHES)
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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.
Comments: 14 pages, 2 figures. Discussion of general volume forms corrected
Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Differential Geometry (math.DG)
MSC classes: 53D55; 16E45
Cite as: arXiv:math/0002057 [math.QA]
  (or arXiv:math/0002057v2 [math.QA] for this version)
  https://doi.org/10.48550/arXiv.math/0002057
Journal reference: Lett. Math. Phys. 53 (2000), 75-86
Related DOI: https://doi.org/10.1023/A%3A1026577414320

Submission history

From: Giovanni Felder [view email]
[v1] Tue, 8 Feb 2000 11:05:27 UTC (11 KB)
[v2] Tue, 30 May 2000 06:10:21 UTC (12 KB)
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