On asymptotic expansions of generalized Bergman kernels on symplectic manifolds

Yuri A. Kordyukov

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arXiv · 1703.04107

On asymptotic expansions of generalized Bergman kernels on symplectic manifolds

Yuri A. Kordyukov

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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.

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BibTeX RIS

Yuri A. Kordyukov. 2017-03-12. On asymptotic expansions of generalized Bergman kernels on symplectic manifolds. https://arxiv.org/abs/1703.04107

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