Complex curves through a contact lens

Geometry Topology Seminar
Monday, October 16, 2017 - 13:55
1 hour (actually 50 minutes)
Skiles 006
Boston College
Every four-dimensional Stein domain has a Morse function whoseregular level sets are contact three-manifolds. This allows us to studycomplex curves in the Stein domain via their intersection with thesecontact level sets, where we can comfortably apply three-dimensional tools.We use this perspective to understand links in Stein-fillable contactmanifolds that bound complex curves in their Stein fillings.