The interior of discrete projective structures in the Bers fiber

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Abstract

The space of all projective structures on a closed surface is a holomorphic vector bundle over the Teichmüller space. In this paper, we restrict the space to the Bers fiber over any fixed underlying complex structure and prove that the interior of the set of discrete projective structures in the Bers fiber consists of those having quasifuchsian holonomy.

Original languageEnglish
Pages (from-to)3-12
Number of pages10
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume32
Issue number1
Publication statusPublished - 2007 Dec 1
Externally publishedYes

Keywords

  • Bers density conjecture
  • Degenerate group
  • Grafting
  • Holonomy representation
  • Kleinian group
  • Projective structure
  • Quasifuchsian group

ASJC Scopus subject areas

  • Mathematics(all)

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