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The Necessity of Wheels in Universal Quantization Formulas

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Abstract

In the context of formal deformation quantization, we provide an elementary argument showing that any universal quantization formula necessarily involves graphs with wheels.

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Authors and Affiliations

  1. Institut de Mathématiques de Bourgogne, Université de Bourgogne, B.P. 47870, 21078, Dijon Cedex, France

    Giuseppe Dito

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  1. Giuseppe Dito
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Correspondence to Giuseppe Dito.

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Communicated by N. Reshetikhin

Dedicated to the memory of Louis Boutet de Monvel (1941–2014)

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Dito, G. The Necessity of Wheels in Universal Quantization Formulas. Commun. Math. Phys. 338, 523–532 (2015). https://doi.org/10.1007/s00220-015-2373-1

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  • DOI: https://doi.org/10.1007/s00220-015-2373-1

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