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 estimates of the subprincipal terms.
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