1998/09/25 by Sadayoshi Kojima, Haruko Nishi, Yasushi Yamashita · 1 citation
Mathematics · #math.GT #msc:57M50 #msc:53C15
published as Topology, 38 (1999), 497-516. · 22 pages, to appear in Topology
arxiv created 1998/09/25 · arxiv updated 2009/11/30
A purely combinatorial compactification of the configuration space of n (>4) distinct points with equal weights in the real projective line was introduced by M. Yoshida. We geometrize it so that it will be a real hyperbolic cone-manifold of finite volume with dimension n-3. Then, we vary weights for points. The geometrization still makes sense and yields a deformation. The effectivity of deformations arisen in this manner will be locally described in the existing deformation theory of hyperbolic structures when n-3 = 2, 3.