The moduli space of the modular group in complex hyperbolic geometry

被引：0
|
作者：
Elisha Falbel
John R. Parker
机构：
[1] Institut de Mathématiques,
[2] Université Pierre et Marie Curie,undefined
[3] 4,undefined
[4] place Jussieu,undefined
[5] F-75252 Paris,undefined
[6] France (e-mail: falbel@math.jussieu.fr),undefined
[7] Department of Mathematical Sciences,undefined
[8] University of Durham,undefined
[9] South Road,undefined
[10] Durham DH1 3LE,undefined
[11] England (e-mail: J.R.Parker@durham.ac.uk),undefined
来源：
Inventiones mathematicae | 2003年 / 152卷
关键词：
Modulus Space; Isometry Group; Modular Group; Fuchsian Group; Hyperbolic Geometry;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct the space of discrete, faithful, type-preserving representations of the modular group into the isometry group of complex hyperbolic 2-space up to conjugacy. This is the first Fuchsian group for which the entire complex hyperbolic deformation space has been constructed. We also show how the ℂ-spheres of Falbel-Zocca are related to the ℝ-spheres (hybrid spheres) of Schwartz.
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页码：57 / 88
页数：31
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