Contact Non-Squeezing and Rabinowitz Floer Homologhy

Joint IAS-PU Symplectic Geometry Seminar
Topic:Contact Non-Squeezing and Rabinowitz Floer Homologhy
Speaker:Peter Albers
Affiliation:Universitat Munster
Date:Friday, February 15
Time/Room:1:30pm - 2:30pm/S-101

We will present joint work with Will Merry. Using spectral invariants in Rabinowitz Floer homology we present an abstract contact non-squeezing theorem for periodic contact manifolds. We then exemplify this in concrete examples. Finally we explain connections to the existence of a biinvariant metric on contactomorphism groups. All this is connected and generalizes work by Eliashberg-Polterovich and Sandon.