dc.contributor.author | Hoffman, Neil R. | |
dc.date.accessioned | 2022-11-07T14:33:42Z | |
dc.date.available | 2022-11-07T14:33:42Z | |
dc.date.issued | 2020-01-14 | |
dc.identifier.citation | Hoffman, N.R. (2020). Cusp types of quotients of hyperbolic knot complements. | |
dc.identifier.uri | https://hdl.handle.net/11244/336602 | |
dc.description.abstract | This paper completes a classification of the types of orientable and non-orientable cusps that can arise in the quotients of hyperbolic knot complements. In particular, S2(2,4,4) cannot be the cusp cross-section of any orbifold quotient of a hyperbolic knot complement. Furthermore, if a knot complement covers an orbifold with a S2(2,3,6) cusp, it also covers an orbifold with a S2(3,3,3) cusp. We end with a discussion that shows all cusp types arise in the quotients of link complements. | |
dc.format | application/pdf | |
dc.relation.uri | http://arxiv.org/abs/2001.05066v3 | |
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 | Cusp types of quotients of hyperbolic knot complements | |
dc.date.updated | 2022-10-26T21:01:29Z | |
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 | 57M10: Covering spaces and low-dimensional topology | |
dc.subject.keywords | 57M12: Low-dimensional topology of special (e.g., branched) coverings | |
dc.relation.oaversion | Published version | |
dc.relation.oaurl | https://www.ams.org/journals/bproc/2022-09-32/S2330-1511-2022-00104-4/S2330-1511-2022-00104-4.pdf | |
dc.identifier.author | ORCID: 0000-0003-0662-3244 (Hoffman, Neil R) | |
dc.identifier.author | ScopusID: 16642919400 (Hoffman, Neil R) | |