Configuration spaces of points on the circle and hyperbolic dehn fillings

Sadayoshi Kojima*, Haruko Nishi, Yasushi Yamashita

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)497-516
Number of pages20
Issue number3
Publication statusPublished - 1999 May
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology


Dive into the research topics of 'Configuration spaces of points on the circle and hyperbolic dehn fillings'. Together they form a unique fingerprint.

Cite this