Symbolic calculus for Toeplitz operators with half-forms

Details Symbolic calculus for Toeplitz operators with half-forms Symbolic calculus for Toeplitz operators with half-forms

2006-02-08

arxiv.org/abs/math/0602167v1

Mathematics

Symplectic Geometry

21 pages

Scientific paper

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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