%0 Journal Article
%T Locally unknotted spines of Heegaard splittings
%A Jesse Johnson
%J Mathematics
%D 2004
%I arXiv
%R 10.2140/agt.2005.5.1573
%X We show that under reasonable conditions, the spines of the handlebodies of a strongly irreducible Heegaard splitting will intersect a closed ball in a graph which is isotopic into the boundary of the ball. This is in some sense a generalization of the results by Scharlemann on how a strongly irreducible Heegaard splitting surface can intersect a ball.
%U http://arxiv.org/abs/math/0411065v3