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Concordance in homology cobordisms


Speaker: Tye Lidman, North Carolina State University
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Location: 2112 MSB
Start time: Thu, Oct 5 2017, 3:10PM

Not all knots bound a disk in the three-sphere, but they do always bound a PL disk in the four-ball. It turns out that this fails for knots in arbitrary homology spheres. We study a group that measures this failure and show that it is infinitely-generated. This is joint work with Jen Hom and Adam Levine.