Angled decompositions of arborescent link complements
| dc.creator | Futer, David | |
| dc.creator | Guéritaud, François | |
| dc.date | 2006-10-26 | |
| dc.date | 2006-12-19 | |
| dc.date.accessioned | 2026-07-07T12:49:26Z | |
| dc.date.available | 2026-07-07T12:49:26Z | |
| dc.description | This paper describes a way to subdivide a 3-manifold into angled blocks, namely polyhedral pieces that need not be simply connected. When the individual blocks carry dihedral angles that fit together in a consistent fashion, we prove that a manifold constructed from these blocks must be hyperbolic. The main application is a new proof of a classical, unpublished theorem of Bonahon and Siebenmann: that all arborescent links, except for three simple families of exceptions, have hyperbolic complements. | |
| dc.description | 42 pages, 23 figures. Slightly expanded exposition and references | |
| dc.identifier | https://arxiv.org/abs/math/0610775 | |
| dc.identifier | http://arxiv.org/abs/math/0610775 | |
| dc.identifier | Proceedings of the London Mathematical Society 98 (2009), Issue 2, 325-364 | |
| dc.identifier | doi:10.1112/plms/pdn033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222404 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 57M50 | |
| dc.title | Angled decompositions of arborescent link complements | |
| dc.type | text |