Discretization of vector bundles and rough Laplacian

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dc.creatorMantuano, Tatiana
dc.date2006-09-21
dc.date.accessioned2026-07-07T07:25:04Z
dc.date.available2026-07-07T07:25:04Z
dc.descriptionWe establish a uniform comparison between the spectrum of the rough Laplacian (acting on sections of a vector bundle of complex rank one or of harmonic curvature) with the spectrum of a discrete operator (a generalization of a discrete magnetic Laplacian added with a potential) acting on a finite dimensional space coming from a discretization process. As an application, we obtain a comparison of the first positive eigenvalue of the rough Laplacian with the holonomy.
dc.identifierhttps://arxiv.org/abs/math/0609595
dc.identifierhttp://arxiv.org/abs/math/0609595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116602
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58J50; 53C20
dc.titleDiscretization of vector bundles and rough Laplacian
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