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On Dequantization of Fedosov's Deformation Quantization

Alexander V. Karabegov
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Abstract

To each natural deformation quantization on a Poisson manifold M we associate a Poisson morphism from the formal neighborhood of the zero section of the cotangent bundle to M to the formal neighborhood of the diagonal of the product M x M~, where M~ is a copy of M with the opposite Poisson structure. We call it dequantization of the natural deformation quantization. Then we "dequantize" Fedosov's quantization.

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BibTeXRIS

Alexander V. Karabegov. 2003-09-20. On Dequantization of Fedosov's Deformation Quantization. https://doi.org/10.1023/b%3Amath.0000004360.04046.3a

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