Topology Seminar

Andras Stipsicz, Alfréd Rényi Institute of Mathematics
"Stein fillability in high dimensions"

Abstract: According to a recent result of Borman-Eliashberg-Murphy, any odd dimensional smooth manifold satisfying some mild and obvious homotopic condition admits a contact structure. The existence of Stein fillable contact structures on manifolds (at least in dimensions at least 5) is a question one can attack using topological methods.
     We will identify the obstruction for the existence of Stein fillable structures, show examples where this obstruction is nonzero, and discuss Stein fillability properties of homotopy spheres. This is a joint project with Jonathan Bowden and Diarmuid Crowley.

Event Date: 
September 18, 2017 - 3:30pm to 4:30pm
221 MLH
Calendar Category: