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.

accepted for publication in Mathematische Zeitschrift

References in corpus (3)

• Toeplitz operators on symplectic manifolds
• 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