13.02.2025, 10:00
– Hörsaal in Haus 10
Forschungsseminar Differentialgeometrie
A gluing construction for complex surfaces with hyperbolic cusps
Hans-Joachim Hein (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.