The spectral density function for the Laplacian on high tensor powers of a line bundle

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dc.creatorBorthwick, David
dc.creatorUribe, Alejandro
dc.date2001-03-09
dc.date.accessioned2026-07-07T04:40:35Z
dc.date.available2026-07-07T04:40:35Z
dc.descriptionFor a symplectic manifold with quantizing line bundle, a choice of almost complex structure determines a Laplacian acting on tensor powers of the bundle. For high tensor powers Guillemin-Uribe showed that there is a well-defined cluster of low-lying eigenvalues, whose distribution is described by a spectral density function. We give an explicit computation of the spectral density function, by constructing certain quasimodes on the associated principle bundle.
dc.descriptionAMS-Latex, 17 pages
dc.identifierhttps://arxiv.org/abs/math/0103062
dc.identifierhttp://arxiv.org/abs/math/0103062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61069
dc.subjectSpectral Theory
dc.subjectDifferential Geometry
dc.titleThe spectral density function for the Laplacian on high tensor powers of a line bundle
dc.typetext

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