Fedosov Star-Products and 1-Differentiable Deformations

Details Fedosov Star-Products and 1-Differentiable Deformations Fedosov Star-Products and 1-Differentiable Deformations

1998-09-07

arxiv.org/abs/math/9809032v1

Mathematics

Quantum Algebra

20 pages

Scientific paper

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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