Transactions of the American Mathematical Society, 2012-02, Vol.364 (2), p.911-932
2012
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Details
- Autor(en) / Beteiligte
- Titel
- The Weber-Seifert dodecahedral space is non-Haken
- Ist Teil von
- Transactions of the American Mathematical Society, 2012-02, Vol.364 (2), p.911-932
- Ort / Verlag
- American Mathematical Society
- Erscheinungsjahr
- 2012
- Quelle
- American Mathematical Society Publications
- Beschreibungen/Notizen
- 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.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0002-9947eISSN: 1088-6850DOI: 10.1090/S0002-9947-2011-05419-XTitel-ID: cdi_crossref_primary_10_1090_S0002_9947_2011_05419_X
- Format
- –
- Schlagworte
- Algorithms, Coordinate systems, Heuristics, Mathematical manifolds, Mathematical surfaces, Mathematics, Pruning, Tetrahedrons, Triangulation, Vertices