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 Jan 1
Externally publishedYes

Fingerprint

Dehn Filling
Configuration Space
Circle
Hyperbolic Structure
Deformation Theory
Compactification
Finite Volume
Cone
Vary
Distinct
Line

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Configuration spaces of points on the circle and hyperbolic dehn fillings. / Kojima, Sadayoshi; Nishi, Haruko; Yamashita, Yasushi.

In: Topology, Vol. 38, No. 3, 01.01.1999, p. 497-516.

Research output: Contribution to journalArticle

Kojima, Sadayoshi ; Nishi, Haruko ; Yamashita, Yasushi. / Configuration spaces of points on the circle and hyperbolic dehn fillings. In: Topology. 1999 ; Vol. 38, No. 3. pp. 497-516.
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