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Harmonic spinors and local deformations of the metric
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-9184-1467
2011 (English)In: Mathematical Research Letters, ISSN 1073-2780, Vol. 18, no 5, 927-936 p.Article in journal (Refereed) Published
Abstract [en]

Let (M, g) be a compact Riemannian spin manifold. The Atiyah-Singer index theorem yields a lower bound for the dimension of the kernel of the Dirac operator. We prove that this bound can be attained by changing the Riemannian metric g on an arbitrarily small open set.

Place, publisher, year, edition, pages
2011. Vol. 18, no 5, 927-936 p.
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URN: urn:nbn:se:kth:diva-152119ISI: 000299637200010ScopusID: 2-s2.0-84856121372OAI: diva2:749565

QC 20140924

Available from: 2014-09-24 Created: 2014-09-23 Last updated: 2014-09-24Bibliographically approved

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Dahl, Mattias
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