Rice University

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Seminar

Mathematics

Speaker: Tye Lidman
North Carolina State University

Topology Seminar: Concordance in homology spheres

Wednesday, March 8, 2017
4:00 PM  to 5:00 PM

427  Herman Brown Hall
Rice University
6100 Main St
Houston, Texas, USA

Although not every knot in the three-sphere can bound a smooth embedded disk in the three-sphere, it must bound a PL disk in the four-ball. This is not true for knots in the boundaries of arbitrary smooth contractible manifolds. We give new examples of knots in homology spheres that cannot bound PL disks in any bounding homology ball and are thus not concordant to knots in the three-sphere. This is joint work with Jen Hom and Adam Levine.

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