An infinite family of hyperbolic graph complements in S^3
| dc.creator | Frigerio, Roberto | |
| dc.date | 2003-09-23 | |
| dc.date.accessioned | 2026-07-07T06:23:45Z | |
| dc.date.available | 2026-07-07T06:23:45Z | |
| dc.description | For any g>1 we construct a graph G_g in S^3 whose exterior M_g supports a complete finite-volume hyperbolic structure with one toric cusp and a connected geodesic boundary of genus g. We compute the canonical decomposition and the isometry group of M_g, showing in particular that any self-homeomorphism of M_g extends to a self-homeomorphism of the pair (S^3,G_g), and that G_g is chiral. Building on a result of Lackenby we also show that any non-meridinal Dehn filling of M_g is hyperbolic, thus getting an infinite family of graphs in S^2xS^1 whose exteriors support a hyperbolic structure with geodesic boundary. | |
| dc.description | 20 pages; 10 figures | |
| dc.identifier | https://arxiv.org/abs/math/0309381 | |
| dc.identifier | http://arxiv.org/abs/math/0309381 | |
| dc.identifier | J. Knot Theory Ramifications 14 (2005), 479--496. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96346 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50 (Primary); 57M15 (Secondary) | |
| dc.title | An infinite family of hyperbolic graph complements in S^3 | |
| dc.type | text |