Seminar series
Date
Tue, 19 Nov 2013
Time
14:00 -
15:00
Location
L4
Speaker
Will Merry
Organisation
ETH Zurich
In 2000 Eliashberg-Polterovich introduced the natural notion of orderability of contact manifolds; that is, the existence of a natural partial order on the group of contactomorphisms. I will explain how one can study orderability questions using the machinery of Rabinowitz Floer homology. We establish a link between orderable and hypertight contact manifolds, and show that the Weinstein Conjecture holds (i.e. there exists a closed Reeb orbit) whenever there exists a positive (not necessarily contractible) loop of contactomorphisms.
Joint work with Peter Albers and Urs Fuchs.