抄録
A purely combinatorial compactification of the configuration space of n( ≥ 5) 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.
本文言語 | English |
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ページ(範囲) | 497-516 |
ページ数 | 20 |
ジャーナル | Topology |
巻 | 38 |
号 | 3 |
DOI | |
出版ステータス | Published - 1999 5月 |
外部発表 | はい |
ASJC Scopus subject areas
- 幾何学とトポロジー