Disc filling and connected sum

Princeton/IAS Symplectic Geometry Seminar
Topic:Disc filling and connected sum
Speaker:Kai Zehmisch
Affiliation:Universit√§t M√ľnster
Date:Friday, February 27
Time/Room:1:30pm - 2:30pm/S-101
Video Link:http://video.ias.edu/puias/2015/0227-KaiZehmisch

In my talk I will report on recent work with Hansjörg Geiges about a strong connection between the topology of a contact manifold and the existence of contractible periodic Reeb orbits. Namely, if the contact manifold appears as non-trivial contact connected sum and has non-trivial fundamental group or torsion-free homology, then the existence is ensured. This generalizes a result of Helmut Hofer in dimension three.