Complex curves through a contact lens

Thursday, September 28, 2017 -
4:30pm to 5:30pm
Every four-dimensional Stein domain has a height function whose regular level sets are contact three-manifolds. This allows us to study complex curves in the Stein domain via their intersection with these contact level sets, where we can comfortably apply three-dimensional tools.We use this perspective to characterize the links in Stein-fillable contact manifolds that bound complex curves in their Stein fillings. (Some of this is joint work with Baykur, Etnyre, Hedden, Kawamuro, and Van Horn-Morris.)
Speaker: 
Kyle Hayden
Boston College
Event Location: 
Fine Hall 314