Dirac eigenvalues under codimension one collaps

19.10.2017, 16:15  –  Raum 1.10
Forschungsseminar Differentialgeometrie

Saskia Roos (Bonn)

After giving a characterization of a collaps of codimension one we study the behavior of Dirac eigenvalues in that situation. We show that there are converging eigenvalues if and only if there is an induced spin structure on the limit space. In addition, we determine the limit operator which corresponds to the limit spectrum.