Identification of Berezin-Toeplitz deformation quantization

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dc.creatorKarabegov, Alexander V.
dc.creatorSchlichenmaier, Martin
dc.date2000-06-08
dc.date.accessioned2026-07-07T04:35:48Z
dc.date.available2026-07-07T04:35:48Z
dc.descriptionWe 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.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0006063
dc.identifierhttp://arxiv.org/abs/math/0006063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59377
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subjectSymplectic Geometry
dc.subjectQuantum Physics
dc.subject58F06, 53D55, 58G15, 53C55, 32C17, 81S10
dc.titleIdentification of Berezin-Toeplitz deformation quantization
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