Negatively Oriented Ideal Triangulations and a Proof of Thurston's Hyperbolic Dehn Filling Theorem
| dc.creator | Petronio, Carlo | |
| dc.creator | Porti, Joan | |
| dc.date | 1999-01-11 | |
| dc.date.accessioned | 2026-07-07T05:27:31Z | |
| dc.date.available | 2026-07-07T05:27:31Z | |
| dc.description | We give a complete proof of Thurston's celebrated hyperbolic Dehn filling theorem, following the ideal triangulation approach of Thurston and Neumann-Zagier. We avoid to assume that a genuine ideal triangulation always exists, using only a partially flat one, obtained by subdividing an Epstein-Penner decomposition. This forces us to deal with negatively oriented tetrahedra. Our analysis of the set of hyperbolic Dehn filling coefficients is elementary and self-contained. In particular, it does not assume smoothness of the complete point in the variety of deformations. | |
| dc.description | 23 pages, 4 figures, Latex | |
| dc.identifier | https://arxiv.org/abs/math/9901045 | |
| dc.identifier | http://arxiv.org/abs/math/9901045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77948 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50 (primary), 57Q15 (secondary) | |
| dc.title | Negatively Oriented Ideal Triangulations and a Proof of Thurston's Hyperbolic Dehn Filling Theorem | |
| dc.type | text |