The complete $10$-tetrahedra census of orientable cusped hyperbolic $3$-manifolds
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908864336625664 |
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| author | Li, Shana Yunsheng |
| author_facet | Li, Shana Yunsheng |
| contents | We extend the complete census of orientable cusped hyperbolic $3$-manifolds to $10$ tetrahedra, giving the next $150730$ manifolds and their $496638$ minimal ideal triangulations. As applications, we find the precisely $439898$ exceptional Dehn fillings on them, revealing the next $1849$ simplest hyperbolic knot exteriors in $S^3$. We also give the simplest example of an orientable cusped hyperbolic $3$-manifold containing a closed totally geodesic surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02142 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The complete $10$-tetrahedra census of orientable cusped hyperbolic $3$-manifolds Li, Shana Yunsheng Geometric Topology We extend the complete census of orientable cusped hyperbolic $3$-manifolds to $10$ tetrahedra, giving the next $150730$ manifolds and their $496638$ minimal ideal triangulations. As applications, we find the precisely $439898$ exceptional Dehn fillings on them, revealing the next $1849$ simplest hyperbolic knot exteriors in $S^3$. We also give the simplest example of an orientable cusped hyperbolic $3$-manifold containing a closed totally geodesic surface. |
| title | The complete $10$-tetrahedra census of orientable cusped hyperbolic $3$-manifolds |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2512.02142 |