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arXiv · 1003.2523

Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results

Martin Schlichenmaier
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Abstract

This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kaehler manifolds. The basic objects, concepts, and results are given. This concerns the correct semi-classical limit behaviour of the operator quantization, the unique Berezin-Toeplitz deformation quantization (star product), covariant and contravariant Berezin symbols, and Berezin transform. Other related objects and constructions are also discussed.

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BibTeXRIS

Martin Schlichenmaier. 2010-03-12. Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results. https://doi.org/10.1155/2010%2F927280

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