Mixed-platonic 3-manifolds
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911954749095936 |
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| author | Chesebro, Eric Chu, Michelle DeBlois, Jason Hoffman, Neil R. Mondal, Priyadip Walsh, Genevieve S. |
| author_facet | Chesebro, Eric Chu, Michelle DeBlois, Jason Hoffman, Neil R. Mondal, Priyadip Walsh, Genevieve S. |
| contents | We introduce a class of cusped hyperbolic $3$-manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain previously-known examples. We establish basic facts about mixed-platonic manifolds which allow us to conclude, among other things, that there is no mixed-platonic hyperbolic knot complement with hidden symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01708 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mixed-platonic 3-manifolds Chesebro, Eric Chu, Michelle DeBlois, Jason Hoffman, Neil R. Mondal, Priyadip Walsh, Genevieve S. Geometric Topology 57K32, 57K10 We introduce a class of cusped hyperbolic $3$-manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain previously-known examples. We establish basic facts about mixed-platonic manifolds which allow us to conclude, among other things, that there is no mixed-platonic hyperbolic knot complement with hidden symmetries. |
| title | Mixed-platonic 3-manifolds |
| topic | Geometric Topology 57K32, 57K10 |
| url | https://arxiv.org/abs/2407.01708 |