On Teichm\"uller spaces of Koebe groups
Geometric Topology
2008-02-03 v1 Algebraic Geometry
Abstract
In this paper we parametrize the Teichm\"uller spaces of constructible Koebe groups, that is Kleinian group that arise as covering of 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.
Cite
@article{arxiv.math/9502202,
title = {On Teichm\"uller spaces of Koebe groups},
author = {Pablo Arés Gastesi},
journal= {arXiv preprint arXiv:math/9502202},
year = {2008}
}
Comments
plain LaTeX, with cd.sty 67Kbs, 24 pgs, no figures