| dc.contributor.author | Futer, David | |
| dc.contributor.author | Hamilton, Emily | |
| dc.contributor.author | Hoffman, Neil R. | |
| dc.date.accessioned | 2022-11-07T14:32:42Z | |
| dc.date.available | 2022-11-07T14:32:42Z | |
| dc.date.issued | 2021-02-24 | |
| dc.identifier.citation | Futer, D., Hamilton, E., Hoffman, N.R. (2021). Infinitely many virtual geometric triangulations. | |
| dc.identifier.uri | https://hdl.handle.net/11244/336600 | |
| dc.description.abstract | We prove that every cusped hyperbolic 3-manifold has a finite cover admitting infinitely many geometric ideal triangulations. Furthermore, every long Dehn filling of one cusp in this cover admits infinitely many geometric ideal triangulations. This cover is constructed in several stages, using results about separability of peripheral subgroups and their double cosets, in addition to a new conjugacy separability theorem that may be of independent interest. The infinite sequence of geometric triangulations is supported in a geometric submanifold associated to one cusp, and can be organized into an infinite trivalent tree of Pachner moves. | |
| dc.format | application/pdf | |
| dc.relation.uri | http://arxiv.org/abs/2102.12524v2 | |
| dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
| dc.title | Infinitely many virtual geometric triangulations | |
| dc.date.updated | 2022-10-26T20:59:58Z | |
| dc.description.department | Mathematics | |
| dc.type.genre | Preprint | |
| dc.type.material | Text | |
| dc.subject.keywords | math.GT: Geometric Topology | |
| dc.subject.keywords | math.GR: Group Theory | |
| dc.subject.keywords | 57K32, 20F65, 20E26, 57M10, 57R05 | |
| dc.identifier.author | ORCID: 0000-0003-0662-3244 (Hoffman, Neil R) | |
| dc.identifier.author | ScopusID: 16642919400 (Hoffman, Neil R) | |
