| dc.contributor.author | Hoffman, Neil R. | |
| dc.contributor.author | Petersen, Kathleen L. | |
| dc.date.accessioned | 2022-11-07T14:32:32Z | |
| dc.date.available | 2022-11-07T14:32:32Z | |
| dc.date.issued | 2022-09-12 | |
| dc.identifier.citation | Hoffman, N.R., Petersen, K.L. (2022). Small PSL(2,F) representations of Seifert fiber space groups. | |
| dc.identifier.uri | https://hdl.handle.net/11244/336599 | |
| dc.description.abstract | Let M be a Seifert fiber space with non-abelian fundamental group and admitting a triangulation with t tetrahedra. We show that there is a non-abelian PSL(2,F) quotient where |F|<c(220t3120t) for an absolute constant c>0 and use this to show that the lens space recognition problem lies in coNP for Seifert fiber space input. We end with a discussion of our results in the context of distinguishing lens spaces from other 3--manifolds more generally. | |
| dc.format | application/pdf | |
| dc.relation.uri | http://arxiv.org/abs/2209.05478v1 | |
| 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 | Small PSL(2,F) representations of Seifert fiber space groups | |
| dc.date.updated | 2022-10-26T20:59:45Z | |
| dc.description.department | Mathematics | |
| dc.type.genre | Preprint | |
| dc.type.material | Text | |
| dc.subject.keywords | math.GT: Geometric Topology | |
| dc.subject.keywords | cs.CC: Computational Complexity | |
| dc.subject.keywords | 57M50: General geometric structures on low-dimensional manifolds | |
| dc.subject.keywords | 68Q25: Analysis of algorithms and problem complexity | |
| dc.identifier.author | ORCID: 0000-0003-0662-3244 (Hoffman, Neil R) | |
| dc.identifier.author | ScopusID: 16642919400 (Hoffman, Neil R) | |
