Hyperbolicity of arborescent tangles and arborescent links
| dc.creator | Volz, Kathleen Reif | |
| dc.date | 2008-01-30 | |
| dc.date | 2008-12-01 | |
| dc.date.accessioned | 2026-07-07T12:05:38Z | |
| dc.date.available | 2026-07-07T12:05:38Z | |
| dc.description | In this paper, we study the hyperbolicity of arborescent tangles and arborescent links. We will explicitly determine all essential surfaces in arborescent tangle complements with non-negative Euler characteristic, and show that given an arborescent tangle T, the complement X(T) is non-hyperbolic if and only if T is a rational tangle, T=Q_m * T' for some m greater than or equal to 1, or T contains Qn for some n greater than or equal to 2. We use these results to prove a theorem of Bonahon and Seibenmann which says that a large arborescent link L is non-hyperbolic if and only if it contains Q2. | |
| dc.description | 26 pages, 18 figures | |
| dc.identifier | https://arxiv.org/abs/0801.4704 | |
| dc.identifier | http://arxiv.org/abs/0801.4704 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/208429 | |
| dc.subject | Geometric Topology | |
| dc.subject | 11B83 | |
| dc.title | Hyperbolicity of arborescent tangles and arborescent links | |
| dc.type | text |