The interior of discrete projective structures in the Bers fiber

Katsuhiko Matsuzaki

The interior of discrete projective structures in the Bers fiber

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	3-12
Number of pages	10
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	32
Issue number	1
Publication status	Published - 2007 Dec 1
Externally published	Yes

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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KW - Degenerate group

KW - Grafting

KW - Holonomy representation

KW - Kleinian group

KW - Projective structure

KW - Quasifuchsian group

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