dc.contributor.author | Hoffman, Neil R. | |
dc.contributor.author | Millichap, Christian | |
dc.contributor.author | Worden, William | |
dc.date.accessioned | 2022-11-07T14:34:31Z | |
dc.date.available | 2022-11-07T14:34:31Z | |
dc.date.issued | 2019-09-23 | |
dc.identifier.citation | Hoffman, N.R., Millichap, C., Worden, W. (2019). Symmetries and hidden symmetries of (ε, dL)-twisted knot complements. | |
dc.identifier.uri | https://hdl.handle.net/11244/336605 | |
dc.description.abstract | In this paper we analyze symmetries, hidden symmetries, and commensurability classes of (ϵ,dL)-twisted knot complements, which are the complements of knots that have a sufficiently large number of twists in each of their twist regions. These knot complements can be constructed via long Dehn fillings on fully augmented links complements. We show that such knot complements have no hidden symmetries, which implies that there are at most two other knot complements in their respective commensurability classes. Under mild additional hypotheses, we show that these knots have at most four (orientation-preserving) symmetries and are the only knot complements in their respective commensurability classes. Finally, we provide an infinite family of explicit examples of (ϵ,dL)-twisted knot complements that are the unique knot complements in their respective commensurability classes obtained by filling a fully augmented link with four crossing circles. | |
dc.format | application/pdf | |
dc.relation.uri | http://arxiv.org/abs/1909.10571v3 | |
dc.relation.uri | http://dx.doi.org/10.2140/agt.2022.22.601 | |
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 | Symmetries and hidden symmetries of ε,dL-twisted knot complements | |
dc.date.updated | 2022-10-26T21:03:10Z | |
dc.description.department | Mathematics | |
dc.type.genre | Preprint | |
dc.type.material | Text | |
dc.subject.keywords | math.GT: Geometric Topology | |
dc.subject.keywords | 57M25: Knots and links in $S^3$ | |
dc.subject.keywords | 57M50: General geometric structures on low-dimensional manifolds | |
dc.subject.keywords | 57M27: Invariants of knots and 3-manifolds | |
dc.identifier.author | ORCID: 0000-0003-0662-3244 (Hoffman, Neil R) | |
dc.identifier.author | ScopusID: 16642919400 (Hoffman, Neil R) | |