Orderable 3-manifold groups
| dc.creator | Boyer, Steven | |
| dc.creator | Rolfsen, Dale | |
| dc.creator | Wiest, Bert | |
| dc.date | 2002-11-06 | |
| dc.date | 2005-06-14 | |
| dc.date.accessioned | 2026-07-07T04:52:43Z | |
| dc.date.available | 2026-07-07T04:52:43Z | |
| dc.description | We investigate the orderability properties of fundamental groups of 3-dimensional manifolds. Many 3-manifold groups support left-invariant orderings, including all compact P^2-irreducible manifolds with positive first Betti number. For seven of the eight geometries (excluding hyperbolic) we are able to characterize which manifolds' groups support a left-invariant or bi-invariant ordering. We also show that manifolds modelled on these geometries have virtually bi-orderable groups. The question of virtual orderability of 3-manifold groups in general, and even hyperbolic manifolds, remains open, and is closely related to conjectures of Waldhausen and others. | |
| dc.description | 37 pages. Published version. Improvements in the organisation and presentation of the material | |
| dc.identifier | https://arxiv.org/abs/math/0211110 | |
| dc.identifier | http://arxiv.org/abs/math/0211110 | |
| dc.identifier | Ann. Inst. Fourier, Grenoble, 55, 1 (2005), 243-288 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65569 | |
| dc.subject | Geometric Topology | |
| dc.title | Orderable 3-manifold groups | |
| dc.type | text |