Configuration spaces of points on the circle and hyperbolic dehn fillings

Sadayoshi Kojima, Haruko Nishi, Yasushi Yamashita

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
JournalTopology
Volume38
Issue number3
DOIs
Publication statusPublished - 1999 May
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology

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