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Title
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Hochschild cohomology of the Weyl algebra and traces in deformation quantization
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Author
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Abstract
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| We give a formula for a cocycle generating the Hochschild cohomology of the Weyl algebra with coefficients in its dual. It is given by an integral over the configuration space of ordered points on a circle. Using this formula and a noncommutative version of formal geometry, we obtain an explicit expression for the canonical trace in deformation quantization of symplectic manifolds. |
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Language
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English
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Source (journal)
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Duke mathematical journal. - Durham, N.C.
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Publication
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Durham, N.C.
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2005
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ISSN
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0012-7094
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DOI
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10.1215/S0012-7094-04-12733-2
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Volume/pages
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127
:3
(2005)
, p. 487-516
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ISI
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000237151400003
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Full text (Publisher's DOI)
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