Title
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Deformation quantization with traces
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Author
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Abstract
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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. |
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Language
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English
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Source (journal)
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Letters in mathematical physics. - Dordrecht
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Publication
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Dordrecht
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2000
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ISSN
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0377-9017
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DOI
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10.1023/A:1026577414320
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Volume/pages
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53
:1
(2000)
, p. 75-86
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ISI
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000165478300007
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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