Georgios Dimitroglou Rizell: Recent results in quantitative and C^0 contact topology

Date: 2023-06-27

Time: 09:30 - 10:30


Georgios Dimitroglou Rizell, Uppsala University


We present some recent developments in quantitive and C^0 contact topology from a series of work joint with M. Sullivan. We use Rabinowitz Floer homology to show that the Chekanov-Hofer-Shelukhin (CHS) norm of closed Legendrians in closed contact manifolds is non-degenerate. Using the non-existence of C^0-small positive loops of Legendrians and the degeneracy of the CHS-norm for NON-Legendrians, we show the following: The image of a Legendrian under a homeomorphism that is the C^0-limit of contactomorphisms is again Legendrian, under the condition that the image is a smooth submanifold.