10.07.2025, 16:15
– Raum 1.22
Forschungsseminar Differentialgeometrie
Cancellation properties of exotic 4-dimensional positive scalar curvature metrics
Johannes Ebert (Münster)
We survey relations between the dimension of the solution space of the Dirac equation and the topology of the underlying manifold. It is shown that in certain dimensions existence of metrics with harmonic spinors is not topologically obstructed. In this respect the Dirac operator behaves very differently from the Laplace-Beltrami operator.