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May 6, 2022 3:30 pm - 4:30 pm
Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138 USA

Matthew Hedden - Michigan State University

I'll recall the braid-theoretic characterization of knots in the 3-sphere bounding complex curves in the 4-ball due to Rudolph and Boileau-Orevkov, discuss generalizations to other 3-manifolds and fillings, a conjectural characterization in terms of transverse knot theory, and proof of this conjecture using knot Floer homology in some special cases.  Parts of the talk will touch upon joint work in progress with Tovstopyat-Nelip and Baykur-Etnyre-Hayden-Van Horn-Morris.