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Dirac eigenvalues of higher multiplicity

URN to cite this document: urn:nbn:de:bvb:355-epub-312097

Nowaczyk, Nikolai (2015) Dirac eigenvalues of higher multiplicity. PhD, Universität Regensburg.

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Abstract (English)

Let M be a closed spin manifold of dimension at least three with a fixed topological spin structure. For any Riemannian metric, we can construct the associated Dirac operator. The spectrum of this Dirac operator depends on the metric of course. In 2005, Dahl conjectured that M can be given a metric, for which a finite part of the spectrum consists of arbitrarily prescribed eigenvalues of ...

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Translation of the abstract (German)

Sei M eine kompakte Spin–Mannigfaltigkeit der Dimension größergleich drei mit fester topologischer Spin–Struktur. Für jede Riemannsche Metrik erhalten wir einen Dirac-Operator, dessen Spektrum von der Metrik abhängt. Dahl vermutet in einer Arbeit aus dem Jahr 2005, dass M eine Metrik trägt, für die ein endlicher Teil des Dirac–Spektrums aus beliebigen vorgeschriebenen Eigenwerten beliebiger ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:14 January 2015
Referee:Prof. Dr. Bernd Ammann
Date of exam:18 December 2014
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Keywords:Dirac operator, surgery, dirac spectrum, spin geometry, eigenvalues
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Deposited on:14 Jan 2015 14:15
Last modified:14 Jan 2015 14:15
Item ID:31209
Owner only: item control page

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