2026-09-05T11:57:54Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:25880 2026-06-23T13:00:06Z ddc:004 open_access

The Complete 10-Tetrahedra Census of Orientable Cusped Hyperbolic 3-Manifolds Li, Shana Yunsheng hyperbolic manifolds 3-manifolds triangulation census tabulation exact computation computational topology low-dimensional topology 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Shana Yunsheng Li 2026 Is Part Of LIPIcs, Volume 367, 42nd International Symposium on Computational Geometry (SoCG 2026) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.SoCG.2026.73 urn:nbn:de:0030-drops-258800 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2026.73 eng https://creativecommons.org/licenses/by/4.0/legalcode