Topology Seminar: Tye Lidman (UT Austin), 'Homology three-spheres and surgery obstructions'

Event Date: 

Tuesday, March 11, 2014 -
3:30pm to 4:30pm

Event Location: 

  • 4607B South Hall

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 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.