The Spectral Density Function of the Renormalized Bochner Laplacian on a Symplectic Manifold

Yu A. Kordyukov

doi:10.1007/s10958-020-05123-2

The Spectral Density Function of the Renormalized Bochner Laplacian on a Symplectic Manifold

Yu A. Kordyukov

Лаборатория топологии и динамики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	696-712
Число страниц	17
Журнал	Journal of Mathematical Sciences (United States)
Том	251
Номер выпуска	5
DOI	https://doi.org/10.1007/s10958-020-05123-2
Состояние	Опубликовано - дек 2020

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10.1007/s10958-020-05123-2

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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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The Spectral Density Function of the Renormalized Bochner Laplacian on a Symplectic Manifold. / Kordyukov, Yu A.

В: Journal of Mathematical Sciences (United States), Том 251, № 5, 12.2020, стр. 696-712.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AB - 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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