Symbolic calculus for Toeplitz operators with half-forms

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dc.creatorCharles, L.
dc.date2006-02-08
dc.date.accessioned2026-07-07T07:03:14Z
dc.date.available2026-07-07T07:03:14Z
dc.descriptionThis paper is devoted to the use of half-form bundles in the symbolic calculus of Berezin-Toeplitz operators on Kahler manifolds. We state the Bohr-Sommerfeld conditions and relate them to the functional calculus of Toeplitz operators, a trace formula and the characteristic classes in deformation quantization. We also develop the symbolic calculus of Lagrangian sections, with the crucial estimate of the subprincipal terms.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0602167
dc.identifierhttp://arxiv.org/abs/math/0602167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108897
dc.subjectSymplectic Geometry
dc.subjectSpectral Theory
dc.subject53D12; 53D50; 53D55; 81S30; 47L80; 35P20
dc.titleSymbolic calculus for Toeplitz operators with half-forms
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