Topology Seminar: Marion Campisi (UT Austin), 'Bridge distance, Heegaard genus and exceptional surgeries'

Event Date: 

Tuesday, November 6, 2012 -
3:30pm to 4:30pm

Event Location: 

  • 4607B South Hall

We demonstrate a lower bound on the genus of an essential surface or Heegaard surface in a 3-manifold obtained by non-trivial surgery on a link in terms of the bridge distance of a bridge surface for the link. Consequently, knots with high distance bridge surfaces do not admit non-trivial non-hyperbolic surgeries or non-trivial cosmetic surgeries.