University of Arkansas Topology Seminar: 9/18/2014

Speaker: Tye Lidman

Title: Homology three−spheres and surgery obstructions

Abstract: The Lickorish−Wallace theorem states that every closed, connected, orientable three-manifold can be expressed as surgery on a link in the three-sphere. It is natural to ask which three−manifolds can be obtained by surgery on a single knot in the three−sphere. We discuss a new way to obstruct integer homology spheres from being surgery on a knot and give some examples. This is joint work with Jennifer Hom and Cagri Karakurt.