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Continuity of Dirac Spectra

Nowaczyk, Nikolai (2013) Continuity of Dirac Spectra. Preprintreihe der Fakultät Mathematik 05/2013, Working Paper.

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Date of publication of this fulltext: 14 Oct 2013 08:10

Abstract

It is a well-known fact that on a bounded spectral interval the Dirac spectrum can described locally by a non-decreasing sequence of continuous functions of the Riemannian metric. In the present article we extend this result to a global version. We think of the spectrum of a Dirac operator as a function Z ! R and endow the space of all spectra with an arsinh-uniform metric. We prove that ...

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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2013
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Classification:
NotationType
53C27MSC
58J50MSC
35Q41MSC
Keywords:Spin Geometry, Dirac Operator, Spectral Geometry, Dirac Spectrum, Spectral Flow
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:28902
Owner only: item control page

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