A two-dimensional slice through the parameter space of two-generator Kleinian groups
群论
2007-05-23 v1
摘要
We describe all real points of the parameter space of two-generator Kleinian groups with a parabolic generator, that is, we describe a certain two-dimensional slice through this space. In order to do this we gather together known discreteness criteria for two-generator groups and present them in the form of conditions on parameters. We complete the description by giving discreteness criteria for groups generated by a parabolic and a -loxodromic elements whose commutator has real trace and present all orbifolds uniformized by such groups.
引用
@article{arxiv.math/0512441,
title = {A two-dimensional slice through the parameter space of two-generator Kleinian groups},
author = {Elena Klimenko and Natalia Kopteva},
journal= {arXiv preprint arXiv:math/0512441},
year = {2007}
}
备注
21 pages, 10 figures