1998/05/28 by Qing Zhou
Mathematics · #math.GT #msc:57M50
published as J. Differential Geometry, 51(1999), 517-550 · 29 pages
arxiv created 1998/05/28 · arxiv updated 2009/11/30
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.