The Weber-Seifert dodecahedral space is non-Haken

Abstract

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.

22 pages, 10 figures, 3 tables; v2: expanded introduction; v3: minor revisions (accepted for Trans. Amer. Math. Soc.)

References in corpus (1)

• The complexity of the normal surface solution space

Cited by in corpus (1)

• The complexity of the normal surface solution space