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Junior Topology
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Kai Nakamura, : Slice disks and homotopy spheres
Wednesday, April 21, 2021, 02:00pm - 03:00pm
Manolescu and Piccirillo recently initiated a program of constructing potential counterexamples to the smooth 4-dimensional Poincare conjecture via a homeomorphism of the zero surgeries of two knots. They mainly focus on examples of pairs where one knot is not slice in and the other is unknown if slice. We instead consider pairs where one knot is slice and study the resulting homotopy spheres.

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