Properties of closed 3-braids
| dc.creator | Stoimenow, A. | |
| dc.date | 2006-06-19 | |
| dc.date | 2007-10-10 | |
| dc.date.accessioned | 2026-07-07T08:35:12Z | |
| dc.date.available | 2026-07-07T08:35:12Z | |
| dc.description | We show that 3-braid links with given (non-zero) Alexander or Jones polynomial are finitely many, and can be effectively determined. We classify among closed 3-braids strongly quasipositive and fibered ones, and show that 3-braid links have a unique incompressible Seifert surface. We also classify the positive braid words with Morton-Williams-Franks bound 3 and show that closed positive braids of braid index 3 are closed positive 3-braids. For closed braids on more strings, we study the alternating links occurring. In particular we classify those of braid index 4, and show that their Morton-Williams-Franks inequality is exact. Finally, we use the Burau representation to obtain new braid index criteria, including an efficient 4-braid test. | |
| dc.description | 68 pages, 10 figures, 3 tables; rev 10 Oct 07: some reorganization; added sections 4.3, 7.1, 7.7 | |
| dc.identifier | https://arxiv.org/abs/math/0606435 | |
| dc.identifier | http://arxiv.org/abs/math/0606435 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139675 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 (primary), 20F36, 32S55 (secondary) | |
| dc.title | Properties of closed 3-braids | |
| dc.type | text |