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Symbolic calculus for Toeplitz operators with half-forms

L. Charles
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Abstract

This 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.

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L. Charles. 2006-02-08. Symbolic calculus for Toeplitz operators with half-forms. https://arxiv.org/abs/math/0602167

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