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math.DG2014
Subprincipal symbol for Toeplitz operators
Laurent Charles
We establish some subprincipal estimates for Berezin-Toeplitz operators on symplectic compact manifolds. From this, we construct a family of subprincipal symbol maps and we prove t…
math.DG2014
Quantization of compact symplectic manifolds
Laurent Charles
We develop the theory of Berezin-Toeplitz operator on any compact symplectic prequantizable manifold from scratch. Our main inspiration is the Boutet de Monvel-Guillemin theory, th…