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On asymptotic expansions of generalized Bergman kernels on symplectic manifolds (1703.04107v3)
Published 12 Mar 2017 in math.DG, math-ph, math.AP, math.MP, and math.SG
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.