Heegaard splittings of exteriors of, two bridge knots
arXiv:math/0101148 · doi:10.2140/gt.2001.5.609
Abstract
In this paper, we show that, for each non-trivial two bridge knot K and for each g > 2, every genus g Heegaard splitting of the exterior E(K) of K is reducible.
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper20.abs.html