Toeplitz operators on symplectic manifolds

Abstract

We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-classical limit properties of the Berezin-Toeplitz quantization for non-compact manifolds and orbifolds are also established.

40 pages

References in corpus (4)

• Toeplitz Quantization of Kähler Manifolds and $gl(N)$ $N\to \infty$
• Generalized Bergman kernels on symplectic manifolds
• The SPIN${}^c$ Dirac operator on high tensor powers of a line bundle
• The first coefficients of the asymptotic expansion of the Bergman kernel of the spin^c Dirac operator

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