Seminars & Colloquia Calendar
Complex curves through a contact lens
Kyle Hayden (Boston College)
Location: Hill 525
Date & time: Tuesday, 28 November 2017 at 3:30PM - 4:30PM
Abstract: Every four-dimensional Stein domain has a height function whose regular level sets are contact three-manifolds. This allows us to study complex curves 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.)