| dc.contributor.author | Baker, Kenneth L. | |
| dc.contributor.author | Hoffman, Neil R. | |
| dc.date.accessioned | 2022-11-07T14:34:37Z | |
| dc.date.available | 2022-11-07T14:34:37Z | |
| dc.date.issued | 2015-04-25 | |
| dc.identifier.citation | Baker, K.L., Hoffman, N.R. (2015). The Poincare homology sphere, lens space surgeries, and some knots with tunnel number two. | |
| dc.identifier.uri | https://hdl.handle.net/11244/336606 | |
| dc.description.abstract | We exhibit an infinite family of knots in the Poincare homology sphere with tunnel number 2 that have a lens space surgery. Notably, these knots are not doubly primitive and provide counterexamples to a few conjectures. Additionally, we update (and correct) our earlier work on Hedden’s almost-simple knots. In the appendix, it is shown that a hyperbolic knot in the Poincare homology sphere with a lens space surgery has either no symmetries or just a single strong involution. | |
| dc.format | application/pdf | |
| dc.relation.uri | http://arxiv.org/abs/1504.06682v3 | |
| dc.relation.uri | http://dx.doi.org/10.2140/pjm.2020.305.1 | |
| 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 | Poincare homology sphere, lens space surgeries, and some knots with tunnel number two | |
| dc.date.updated | 2022-10-26T21:03:21Z | |
| dc.description.department | Mathematics | |
| dc.type.genre | Preprint | |
| dc.type.material | Text | |
| dc.subject.keywords | math.GT: Geometric Topology | |
| 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) | |
