dc.contributor.author | Baker, Kenneth L. | |
dc.contributor.author | Hoffman, Neil R. | |
dc.contributor.author | Licata, Joan E. | |
dc.date.accessioned | 2022-11-07T14:34:58Z | |
dc.date.available | 2022-11-07T14:34:58Z | |
dc.date.issued | 2019-04-05 | |
dc.identifier.citation | Baker, K.L., Hoffman, N.R., Licata, J.E. (2019). Jointly primitive knots and surgeries between lens spaces. | |
dc.identifier.uri | https://hdl.handle.net/11244/336608 | |
dc.description.abstract | This paper describes a Dehn surgery approach to generating asymmetric hyperbolic manifolds with two distinct lens space fillings. Such manifolds were first identified
in work of Dunfield-Hoffman-Licata as the result of a computer search of the SnapPy census, but the current work establishes a topological framework for constructing vastly many more such examples. We introduce the notion of a ``jointly primitive'' presentation of a knot and show that a refined version of this condition ``longitudinally jointly primitive'' is equivalent to being surgery dual to a (1,2)--knot in a lens space. This generalizes Berge's equivalence between having a doubly primitive presentation and being surgery dual to a (1,1)--knot in a lens space. Through surgery descriptions on a seven-component link in S3, we provide several explicit multi-parameter infinite families of knots in lens spaces with longitudinal jointly primitive presentations and observe among them all the examples previously seen in Dunfield-Hoffman-Licata. | |
dc.format | application/pdf | |
dc.relation.uri | http://arxiv.org/abs/1904.03268v1 | |
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 | Jointly primitive knots and surgeries between lens spaces | |
dc.date.updated | 2022-10-26T21:03:38Z | |
dc.description.department | Mathematics | |
dc.type.genre | Preprint | |
dc.type.material | Text | |
dc.subject.keywords | math.GT: Geometric Topology | |
dc.subject.keywords | 57M50: General geometric structures on low-dimensional manifolds | |
dc.subject.keywords | 57M25: Knots and links in $S^3$ | |
dc.identifier.author | ORCID: 0000-0003-0662-3244 (Hoffman, Neil R) | |
dc.identifier.author | ScopusID: 16642919400 (Hoffman, Neil R) | |