Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results

Martin Schlichenmaier

Advances in Mathematical Physics, 2010, vol. 2010, 1-38

Abstract:

This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kähler manifolds. The basic objects, concepts, and results are given. This concerns the correct semiclassical 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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:927280

DOI: 10.1155/2010/927280

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