The focus of this project lies on surgical constructions in contact topology. We investigate the effect of surgery on the existence of periodic Reeb orbits and the existence of positive loops of contactomorphisms. One aim is to prove the Weinstein conjecture for manifolds obtained by subcritical surgery. Further, we want to construct local models for the Reeb flow whose insertion into a given contact manifold allows us to modify the Reeb dynamics in a controlled fashion.
| Albers, Peter | Professorship for theoretical mathematics (Prof. Albers) |
| Zehmisch, Kai | Professur für Differentialgeometrie/Geometrische Analysis (Prof. Zehmisch) |
| Albers, Peter | Professorship for theoretical mathematics (Prof. Albers) |
| Zehmisch, Kai | Professur für Differentialgeometrie/Geometrische Analysis (Prof. Zehmisch) |