Complex curves through a contact lens

Triangle Topology Seminar

Kyle Hayden (Boston College)

Monday, October 23, 2017 -
3:15pm to 4:15pm
119 Physics

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.)

Last updated: 2017/09/25 - 10:06am