# Surface Slices and Homology Spheres

## Location

383-N

Tuesday, June 7, 2022 4:00 PM

Clayton McDonald (UC Davis)

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.