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Kontsevich's Universal Formula for Deformation Quantization and the Campbell-Baker-Hausdorff Formula, I

Vinay Kathotia
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Abstract

We relate a universal formula for the deformation quantization of arbitrary Poisson structures proposed by Maxim Kontsevich to the Campbell-Baker-Hausdorff formula. Our basic thesis is that exponentiating a suitable deformation of the Poisson structure provides a prototype for such universal formulae.

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Vinay Kathotia. 1998-12-01. Kontsevich's Universal Formula for Deformation Quantization and the Campbell-Baker-Hausdorff Formula, I. https://arxiv.org/abs/math/9811174

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