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Fedosov Star-Products and 1-Differentiable Deformations

Philippe Bonneau
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Abstract

We show that every star product on a symplectic manifold defines uniquely a 1-differentiable deformation of the Poisson bracket. Explicit formulas are given. As a corollary we can identify the characteristic class of any star product as a part of its explicit (Fedosov) expression.

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Philippe Bonneau. 1998-09-07. Fedosov Star-Products and 1-Differentiable Deformations. https://arxiv.org/abs/math/9809032

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