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dc.contributor.authorBoldt, Sebastian
dc.contributor.authorLauret, Emilio A.
dc.date.accessioned2016-09-22T10:46:35Z
dc.date.available2016-09-22T10:46:35Z
dc.date.issued2014
dc.identifier.urihttp://publications.mfo.de/handle/mfo/188
dc.descriptionOWLF 2013en_US
dc.description.abstractWe 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 $\Gamma \setminus Spin(2m)/Spin(2m-1)$ and exploiting the representation theory of the Spin groups, we obtain explicit formulas for the multiplicities of the eigenvalues of $D$ in terms of infinitely 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.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2014,19
dc.subjectDirac spectrumen_US
dc.subjectLens spacesen_US
dc.subjectIsospectralityen_US
dc.subjectAffine latticesen_US
dc.titleAn Explicit Formula for the Dirac Multiplicities on Lens Spacesen_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2014-19
local.scientificprogramOWLF 2013
local.series.idOWP-2014-19
local.subject.msc58
local.subject.msc53


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