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Ammann, Bernd ; Dahl, Mattias ; Hermann, Andreas ; Humbert, Emmanuel

Mass endomorphism, surgery and perturbations

Ammann, Bernd, Dahl, Mattias, Hermann, Andreas and Humbert, Emmanuel (2010) Mass endomorphism, surgery and perturbations. Preprintreihe der Fakultät Mathematik 16/2010, Working Paper. (Unpublished)

Date of publication of this fulltext: 13 Apr 2011 03:45
Monograph
DOI to cite this document: 10.5283/epub.20484


Abstract

We prove that the mass endomorphism associated to the Dirac
operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.


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Details

Item typeMonograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Volume:16/2010
Date2010
InstitutionsMathematics > Prof. Dr. Bernd Ammann
Dewey Decimal Classification500 Science > 510 Mathematics
StatusUnpublished
RefereedNo, this version has not been refereed yet (as with preprints)
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-204848
Item ID20484

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