Friday, October 6, 2017
3:00 pm
Building 15, Room 104 – Building 15

Geometry and Topology Seminar

Complex curves through a contact lens
Kyle Hayden, Department of Mathemaatics, Boston College

Every four-dimensional Stein domain has a height function whose regular level sets are contact three-manifolds. Complex curves in the Stein domain can then be studied 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.)

Contact Mathematics Department mathinfo@caltech.edu at 626-395-4335
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