Invertible Dirac operators and handle attachments on manifolds with boundary
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
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.
Spectrum of the Dirac operator, manifold with boundary, handle attachment, concordance of Riemannian metrics
IdentifiersURN: urn:nbn:se:kth:diva-148336DOI: 10.1142/S1793525314500137ISI: 000337891400002ScopusID: 2-s2.0-84902458207OAI: oai:DiVA.org:kth-148336DiVA: diva2:736288
QC 201408062014-08-062014-08-052014-08-06Bibliographically approved