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

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

1998-11-30

arxiv.org/abs/math/9811174v2

Mathematics

Quantum Algebra

48 pages, over 90 (small) epsf figures, uses some ams-latex packages

Scientific paper

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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