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15 April 2005 Hochschild cohomology of the Weyl algebra and traces in deformation quantization
Boris Feigin, Giovanni Felder, Boris Shoikhet
Duke Math. J. 127(3): 487-517 (15 April 2005). DOI: 10.1215/S0012-7094-04-12733-2

Abstract

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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Boris Feigin. Giovanni Felder. Boris Shoikhet. "Hochschild cohomology of the Weyl algebra and traces in deformation quantization." Duke Math. J. 127 (3) 487 - 517, 15 April 2005. https://doi.org/10.1215/S0012-7094-04-12733-2

Information

Published: 15 April 2005
First available in Project Euclid: 18 April 2005

zbMATH: 1106.53055
MathSciNet: MR2132867
Digital Object Identifier: 10.1215/S0012-7094-04-12733-2

Subjects:
Primary: 16E40
Secondary: 53D55

Rights: Copyright © 2005 Duke University Press

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Vol.127 • No. 3 • 15 April 2005
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