Surface Slices and Homology Spheres

Clayton McDonald (University of Glasgow)

Monday 4th December, 2023 16:00-17:00 Maths 311B

Abstract

We develop the theory of the diagrammatics of surface cross sections to prove that there are an infinite number of homology 3-spheres smoothly embeddable in a homology 4-sphere but not in a homotopy 4-sphere. Our primary obstruction comes from work of Taubes.

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