*Special Lecture* Surface Slices and Homology Spheres

Clayton McDonald, University of Vienna
Fine Hall 314

*Special Lecture*

In-Person and Online Talk 

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.