Deformation quantization of compact Kaehler manifolds by Berezin-Toeplitz quantization

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dc.creatorSchlichenmaier, Martin
dc.date1999-10-26
dc.date.accessioned2026-07-07T05:31:17Z
dc.date.available2026-07-07T05:31:17Z
dc.descriptionFor arbitrary compact quantizable Kaehler manifolds it is shown how a natural formal deformation quantization (star product) can be obtained via Berezin-Toeplitz operators. Results on their semi-classical behaviour (their asymptotic expansion) due to Bordemann, Meinrenken and Schlichenmaier are used in an essential manner. It is shown that the star product is null on constants and fulfills parity. A trace is constructed and the relation to deformation quantization by geometric quantization is given.
dc.descriptionAmslatex, 18 pages
dc.identifierhttps://arxiv.org/abs/math/9910137
dc.identifierhttp://arxiv.org/abs/math/9910137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79285
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subjectQuantum Physics
dc.subject58F06; 58F05; 53C55; 32C17; 81S10
dc.titleDeformation quantization of compact Kaehler manifolds by Berezin-Toeplitz quantization
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