Hochschild cohomology of the Weyl algebra and traces in deformation quantization

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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 non-commutative version of formal geometry, we obtain an explicit expression for the canonical trace in deformation quantization of symplectic manifolds.
30 pages. Revised version

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/146789

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311303
 http://arxiv.org/abs/math/0311303
 Duke Math. J. 127 (2005), no. 3, 487--517
 doi:10.1215/S0012-7094-04-12733-2

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arXiv