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On the space of metrics with invertible Dirac operator

JunProf. Dr. Nadine Große

Donnerstag, 2021-02-25 15:00Uhr

Ammann, Dahl and Humbert showed that the property that a manifold admits a metric with invertible Dirac operator persists under the right surgeries. That is the Dirac-counterpart of the Gromov-Lawson construction on the question of existence of postive scalar curvature metrics and has also implications on this question. We consider now the question whether we can also obtain a homotopy equivalence statement for spaces of metrics with invertible Dirac operator under surgery in the spirit of the positive scalar curvature result by Chernysh/Walsh. This is joint work with N. Pederzani.