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Saskia Roos M. Sc.

Max Planck Institute for Mathematics, Bonn

The Dirac operator under codimension one collapse

6. Februar 2018 - 16 Uhr

Seminarraum IGT, Raum 7.530, Pfaffenwaldring 57

Abstract:

After giving a characterization of a collapse of codimension one we study the behavior of Dirac eigenvalues in that situation. We show that there are con- verging eigenvalues if and only if there is an induced spin or pin structure on the limit space. In addition, we determine the limit operator which corres- ponds to the limit spectrum.

Oberseminar Geometrie und Topologie

Wintersemester 2017/2018

Institut für Geometrie und Topologie Pfaffenwaldring 57

70569 Stuttgart

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