Joint IAS/Princeton University Symplectic Geometry Seminar

Disc filling and connected sum

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.

Date & Time

February 27, 2015 | 1:30pm – 2:30pm

Location

S-101

Speakers

Kai Zehmisch

Affiliation

Universität Münster

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