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Topology/Geometry Seminar

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.)

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