On asymptotic expansions of generalized Bergman kernels on symplectic manifolds
Differential Geometry
2020-03-12 v3 Mathematical Physics
Analysis of PDEs
math.MP
Symplectic Geometry
Abstract
A full off-diagonal asymptotic expansion is established for the generalized Bergman kernels of the renormalized Bochner Laplacians associated with high tensor powers of a positive line bundle over a compact symplectic manifold. As an application, the algebra of Toeplitz operators on the symplectic manifold associated with the renormalized Bochner Laplacian is constructed.
Keywords
Cite
@article{arxiv.1703.04107,
title = {On asymptotic expansions of generalized Bergman kernels on symplectic manifolds},
author = {Yuri A. Kordyukov},
journal= {arXiv preprint arXiv:1703.04107},
year = {2020}
}
Comments
21 page, v3: final version