Generalized Bergman kernels on symplectic manifolds of bounded geometry
Generalized Bergman kernels on symplectic manifolds of bounded geometry
We study the asymptotic behavior of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle on a symplectic manifold of bounded geometry. First, we establish the off-diagonal exponential estimate for the generalized Bergman kernel. As an application, we obtain the relation between …