Identification of Berezin-Toeplitz deformation quantization

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We give a complete identification of the deformation quantization which was obtained from the Berezin-Toeplitz quantization on an arbitrary compact Kaehler manifold. The deformation quantization with the opposite star-product proves to be a differential deformation quantization with separation of variables whose classifying form is explicitly calculated. Its characteristic class (which classifies star-products up to equivalence) is obtained. The proof is based on the microlocal description of the Szegoe kernel of a strictly pseudoconvex domain given by Boutet de Monvel and Sjoestrand.
26 pages

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Quantum Algebra, Mathematical Physics, Algebraic Geometry, Complex Variables, Symplectic Geometry, Quantum Physics, 58F06, 53D55, 58G15, 53C55, 32C17, 81S10

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http://salesiana.dossiersoluciones.com/handle/123456789/59377

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0006063
 http://arxiv.org/abs/math/0006063

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arXiv