The Weber-Seifert dodecahedral space is non-Haken

Benjamin A. Burton; J. Hyam Rubinstein; Stephan Tillmann

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arXiv · 0909.4625

The Weber-Seifert dodecahedral space is non-Haken

Benjamin A. Burton·J. Hyam Rubinstein·Stephan Tillmann

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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.

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Benjamin A. Burton, J. Hyam Rubinstein, Stephan Tillmann. 2009-09-25. The Weber-Seifert dodecahedral space is non-Haken. https://arxiv.org/abs/0909.4625

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