Hochschild cohomology of the Weyl algebra and traces in deformation quantization

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dc.creatorFeigin, Boris
dc.creatorFelder, Giovanni
dc.creatorShoikhet, Boris
dc.date2003-11-18
dc.date2005-04-26
dc.date.accessioned2026-07-07T08:56:56Z
dc.date.available2026-07-07T08:56:56Z
dc.descriptionWe 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 non-commutative version of formal geometry, we obtain an explicit expression for the canonical trace in deformation quantization of symplectic manifolds.
dc.description30 pages. Revised version
dc.identifierhttps://arxiv.org/abs/math/0311303
dc.identifierhttp://arxiv.org/abs/math/0311303
dc.identifierDuke Math. J. 127 (2005), no. 3, 487--517
dc.identifierdoi:10.1215/S0012-7094-04-12733-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146789
dc.subjectQuantum Algebra
dc.titleHochschild cohomology of the Weyl algebra and traces in deformation quantization
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