On Teichmüller spaces of Koebe groups

Details On Teichmüller spaces of Koebe groups On Teichmüller spaces of Koebe groups

1995-02-17

arxiv.org/abs/math/9502202v1

Mathematics

Geometric Topology

plain LaTeX, with cd.sty 67Kbs, 24 pgs, no figures

Scientific paper

In this paper we parametrize the Teichm\"uller spaces of constructible Koebe groups, that is Kleinian group that arise as covering of $2-$orbifolds determined by certain normal subgroups of their fundamental groups. We also study the covering spaces of the Teichm\"uller spaces of those Koebe groups. Finally we prove an isomorphisms theorem similar to the Bers-Greenberg theorem for Fuchsian groups. Our method yields a technique to compute explictly generators of Koebe groups, possibly by programming a computer.

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