Tuesday 4 February 2020, 15:30-16:30 in HG02.802
Saskia Roos (Potsdam)
Dirac operator under collapsing to a smooth manifold
We consider a sequences of spin manifolds with bounded curvature and diameter that collapses to a smooth manifold. In that setting we show that a part of the spectrum of the Dirac operator converges to an explicitly given twisted Dirac operator with a symmetric potential. Moreover, we give an example of collapsing sequences where the spectrum of the Dirac operator converges to the spectrum of the Dirac operator on the limit space.