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The Complete 10-Tetrahedra Census of Orientable Cusped Hyperbolic 3-Manifolds

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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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  – Url: https://doi.org/10.4230/LIPIcs.SoCG.2026.73#
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  Data: The Complete 10-Tetrahedra Census of Orientable Cusped Hyperbolic 3-Manifolds
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  Data: 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.
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