10.07.2025, 16:15
– Raum 1.22
Forschungsseminar Differentialgeometrie
Cancellation properties of exotic 4-dimensional positive scalar curvature metrics
Johannes Ebert (Münster)
We derive various pinching results for small Dirac eigenvalues using the classification of spinc and spin manifolds admitting nontrivial Killing spinors. For this, we introduce a notion of convergence for spinc manifolds which involves a general study on convergence of Riemannian manifolds with a principal S1-bundle. We also analyze the relation between the regularity of the Riemannian metric and the regularity of the curvature of the associated principal S1-bundle on spinc manifolds with Killing spinors.