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Invertible Dirac operators and handle attachments on manifolds with boundary
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-9184-1467
2014 (English)In: Journal of Topology and Analysis (JTA), ISSN 1793-5253, E-ISSN 1793-7167, Vol. 6, no 3, 339-382 p.Article in journal (Refereed) Published
Abstract [en]

For spin manifolds with boundary we consider Riemannian metrics which are product near the boundary and are such that the corresponding Dirac operator is invertible when half-infinite cylinders are attached at the boundary. The main result of this paper is that these properties of a metric can be preserved when the metric is extended over a handle of codimension at least two attached at the boundary. Applications of this result include the construction of non-isotopic metrics with invertible Dirac operator, and a concordance existence and classification theorem.

Place, publisher, year, edition, pages
2014. Vol. 6, no 3, 339-382 p.
Keyword [en]
Spectrum of the Dirac operator, manifold with boundary, handle attachment, concordance of Riemannian metrics
National Category
URN: urn:nbn:se:kth:diva-148336DOI: 10.1142/S1793525314500137ISI: 000337891400002ScopusID: 2-s2.0-84902458207OAI: diva2:736288

QC 20140806

Available from: 2014-08-06 Created: 2014-08-05 Last updated: 2014-08-06Bibliographically approved

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Dahl, Mattias
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