Fedosov Star-Products and 1-Differentiable Deformations
classification
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math.SG
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differentiableexplicitfedosovproductstarbracketcharacteristicclass
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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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