Contact Non-Squeezing and Rabinowitz Floer Homology

Contact Non-Squeezing and Rabinowitz Floer Homology

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Peter Albers , Universität Münster
IAS Room 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.