North Carolina State University
Topology Seminar: Concordance in homology spheres
Wednesday, March 8, 2017
to 5:00 PM
427 Herman Brown Hall
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.