On the composition of Berezin-Toeplitz operators on symplectic manifolds

Abstract

We compute the second coefficient of the composition of two Berezin-Toeplitz operators associated with the ${\text{spin}}^c$ Dirac operator on a symplectic manifold, making use of the full-off diagonal expansion of the Bergman kernel.

arXiv commentaccepted for publication in Mathematische Zeitschrift

References in corpus (7)

• Toeplitz Quantization of Kähler Manifolds and $gl(N)$ $N\to \infty$
• On the asymptotic expansion of Bergman kernel
• Toeplitz operators on symplectic manifolds
• Berezin-Toeplitz quantization on Kaehler manifolds
• The first coefficients of the asymptotic expansion of the Bergman kernel of the spin^c Dirac operator
• On a formula of Gammelgaard for Berezin-Toeplitz quantization
• A note on Berezin-Toeplitz quantization of the Laplace operator

Cited by in corpus (2)

• Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
• On Monge-Ampère volumes of direct images