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- Title
The moduli space of the modular group in complex hyperbolic geometry.
- Authors
Falbel, Elisha; Parker, John R.
- Abstract
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.
- Subjects
GROUP theory; CONJUGACY classes; HYPERBOLIC groups; SPHERES; ISOMETRICS (Mathematics); MATHEMATICAL transformations
- Publication
Inventiones Mathematicae, 2003, Vol 152, Issue 1, p57
- ISSN
0020-9910
- Publication type
Article
- DOI
10.1007/s00222-002-0267-2