Geometriae Dedicata

, Volume 89, Issue 1, pp 141–154

Configuration Spaces of Points on the Circle and Hyperbolic Dehn Fillings, II (Dedicated to Professor Mitsuyoshi Kato on his 60th birthday)/atl>

  • Yasushi Yamashita
  • Haruko Nishi
  • Sadayoshi Kojima
Article
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Abstract

In our previous paper (Topology38 (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. A variation 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.

hyperbolic cone-manifold configuration space 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Yasushi Yamashita
    • 1
  • Haruko Nishi
    • 2
  • Sadayoshi Kojima
    • 3
  1. 1.Department of Information and Computer SciencesNara Women's UniversityKita-Uoya Nishimachi, NaraJapan
  2. 2.Department of MathematicsKyushu UniversityJapan
  3. 3.Department of Mathematical and Computing SciencesTokyo Institute of TechnologyOhokayama, Meguro, TokyoJapan

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