Configuration spaces of points on the circle and hyperbolic Dehn fillings, II

Yasushi Yamashita, Haruko Nishi, Sadayoshi Kojima

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In our previous paper (Topology 38 (1999), 497-516), we discussed the hyperbolization of the configuration space of n (≥ 5) marked points with weights in the projective line up to projective transformations. Avariation of the weights induces a deformation. It was shown that this correspondence of the set of the weights to the Teichmüller space when n = 5 and to the Dehn filling space when n = 6 is locally one-to-one near the equal weight. In this paper, we establish its global injectivity.

Original languageEnglish
Pages (from-to)143-157
Number of pages15
JournalGeometriae Dedicata
Volume89
Issue number1
Publication statusPublished - 2002 Dec 1
Externally publishedYes

Fingerprint

Dehn Filling
Configuration Space
Circle
Projective Transformation
Injectivity
Correspondence
Topology
Line

Keywords

  • Configuration space
  • Hyperbolic cone-manifold

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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

In: Geometriae Dedicata, Vol. 89, No. 1, 01.12.2002, p. 143-157.

Research output: Contribution to journalArticle

Yamashita, Yasushi ; Nishi, Haruko ; Kojima, Sadayoshi. / Configuration spaces of points on the circle and hyperbolic Dehn fillings, II. In: Geometriae Dedicata. 2002 ; Vol. 89, No. 1. pp. 143-157.
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