The Weber-Seifert dodecahedral space is non-Haken

BA Burton; JH Rubinstein; S Tillmann

Journal article

The Weber-Seifert dodecahedral space is non-Haken

BA Burton, JH Rubinstein, S Tillmann

Transactions of the American Mathematical Society | Published : 2012

DOI: 10.1090/S0002-9947-2011-05419-X

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. © 2011 American Mathematical Society.

University of Melbourne Researchers

Joachim Rubinstein Author

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Grants

Awarded by Australian Research Council

Funding Acknowledgements

[ "The first author was supported under the Australian Research Council's Discovery funding scheme (project DP1094516).", "The second and third authors were partially supported under the Australian Research Council's Discovery funding scheme (projects DP0664276 and DP1095760)." ]