Academic Journal
The Complete 10-Tetrahedra Census of Orientable Cusped Hyperbolic 3-Manifolds
| Τίτλος: | The Complete 10-Tetrahedra Census of Orientable Cusped Hyperbolic 3-Manifolds |
|---|---|
| Συγγραφείς: | Li, Shana Yunsheng |
| Συνεισφορές: | Shana Yunsheng Li |
| Στοιχεία εκδότη: | Schloss Dagstuhl – Leibniz-Zentrum für Informatik |
| Έτος έκδοσης: | 2026 |
| Συλλογή: | DROPS - Dagstuhl Research Online Publication Server (Schloss Dagstuhl - Leibniz Center for Informatics ) |
| Θεματικοί όροι: | hyperbolic manifolds, 3-manifolds, triangulation, census, tabulation, exact computation, computational topology, low-dimensional topology |
| Περιγραφή: | We extend the complete census of orientable cusped hyperbolic 3-manifolds to 10 tetrahedra, giving the next 150,730 manifolds and their 496,638 minimal ideal triangulations. As applications, we find the precisely 439,898 exceptional Dehn fillings on them, revealing the next 1,849 simplest hyperbolic knot exteriors in S³. We also give the simplest example of an orientable cusped hyperbolic 3-manifold containing a closed totally geodesic surface. |
| Τύπος εγγράφου: | article in journal/newspaper conference object |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| Relation: | Is Part Of LIPIcs, Volume 367, 42nd International Symposium on Computational Geometry (SoCG 2026); https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2026.73 |
| DOI: | 10.4230/LIPIcs.SoCG.2026.73 |
| Διαθεσιμότητα: | https://doi.org/10.4230/LIPIcs.SoCG.2026.73 https://nbn-resolving.org/urn:nbn:de:0030-drops-258800 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2026.73 |
| Rights: | https://creativecommons.org/licenses/by/4.0/legalcode |
| Αριθμός Καταχώρησης: | edsbas.E8B69DFE |
| Βάση Δεδομένων: | BASE |
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