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arXiv · 1912.07407

The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold

Yuri A. Kordyukov
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Abstract

We consider the renormalized Bochner Laplacian acting on tensor powers of a positive line bundle on a compact symplectic manifold. We derive an explicit local formula for the spectral density function in terms of coefficients of the Riemannian metric and symplectic form.

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Yuri A. Kordyukov. 2020-12-06. The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold. https://doi.org/10.1007/s10958-020-05123-2

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