An explicit formula for the Dirac multiplicities on lens spaces
dc.bibliographicCitation.seriesTitle | Oberwolfach Preprints (OWP) | eng |
dc.bibliographicCitation.volume | 2014-19 | |
dc.contributor.author | Boldt, Sebastian | |
dc.contributor.author | Lauret, Emilio A. | |
dc.date.available | 2019-06-28T08:12:13Z | |
dc.date.issued | 2014 | |
dc.description.abstract | We present a new description of the spectrum of the (spin-) Dirac operator D on lens spaces. Viewing a spin lens space L as a locally symmetric space n Spin(2m)= Spin(2m1) and exploiting the representation theory of the Spin groups, we obtain explicit formulas for the multiplicities of the eigenvalues of D in terms of finitely many integer operations. As a consequence, we present conditions for lens spaces to be Dirac isospectral. Tackling classic questions of spectral geometry, we prove with the tools developed that neither spin structures nor isometry classes of lens spaces are spectrally determined by giving infinite families of Dirac isospectral lens spaces. These results are complemented by examples found with the help of a computer. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 1864-7596 | |
dc.identifier.uri | https://doi.org/10.34657/1968 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2856 | |
dc.language.iso | eng | eng |
dc.publisher | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach | eng |
dc.relation.doi | https://doi.org/10.14760/OWP-2014-19 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Dirac spectrum | eng |
dc.subject.other | lens spaces | eng |
dc.subject.other | isospectrality | eng |
dc.subject.other | affine lattices | eng |
dc.title | An explicit formula for the Dirac multiplicities on lens spaces | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | MFO | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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