The Moduli Space of Hyperbolic Cone Structures
| dc.creator | Zhou, Qing | |
| dc.date | 1998-05-28 | |
| dc.date.accessioned | 2026-07-07T05:24:52Z | |
| dc.date.available | 2026-07-07T05:24:52Z | |
| dc.description | Let $Σ$ be a hyperbolic link with $m$ components in a 3-dimensional manifold $X$. In this paper, we will show that the moduli space of marked hyperbolic cone structures on the pair $(X, Σ)$ with all cone angle less than $2π/3$ is an $m$-dimensional open cube, parameterized naturally by the $m$ cone angles. As a corollary, we will give a proof of a special case of Thurston's geometrization theorem for orbifolds. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/9805129 | |
| dc.identifier | http://arxiv.org/abs/math/9805129 | |
| dc.identifier | J. Differential Geometry, 51(1999), 517-550 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76975 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M50 | |
| dc.title | The Moduli Space of Hyperbolic Cone Structures | |
| dc.type | text |