Triangle Topology Seminar
Monday, October 23, 2017, 3:15pm, 119 Physics
Kyle Hayden (Boston College)
Complex curves through a contact lens
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 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.) [video]
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