|Princeton/IAS Symplectic Geometry Seminar|
|Topic:||Disc filling and connected sum|
|Date:||Friday, February 27|
|Time/Room:||1:30pm - 2:30pm/S-101|
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.