%0 Journal Article
%T The Weber-Seifert dodecahedral space is non-Haken
%A Benjamin A. Burton
%A J. Hyam Rubinstein
%A Stephan Tillmann
%J Mathematics
%D 2009
%I arXiv
%X In this paper we settle Thurston's old question of whether the Weber-Seifert dodecahedral space is non-Haken, a problem that has been a benchmark for progress in computational 3-manifold topology over recent decades. We resolve this question by combining recent significant advances in normal surface enumeration, new heuristic pruning techniques, and a new theoretical test that extends the seminal work of Jaco and Oertel.
%U http://arxiv.org/abs/0909.4625v3