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Exceptional Surgery and Bridge Distance
by
Ryan Blair
University of Pennsylvania
Coauthors: Marion Campisi, Jesse Johnson, Scott A. Taylor, Maggy Tomova
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.
Date received: November 29, 2012
Copyright © 2012 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbfw-42.