The Weber-Seifert dodecahedral space is non-Haken

Details The Weber-Seifert dodecahedral space is non-Haken The Weber-Seifert dodecahedral space is non-Haken

2009-09-25

arxiv.org/abs/0909.4625v3

Transactions of the American Mathematical Society 364 (2012), no. 2, 911-932

Mathematics

Geometric Topology

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

Scientific paper

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.

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