Falbel, E. and Parker, J. R. (2003) 'The moduli space of the modular group in complex hyperbolic geometry.', Inventiones mathematicae., 152 (1). pp. 57-88.
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 ³-spheres of Falbel-Zocca are related to the Â-spheres (hybrid spheres) of Schwartz.
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|Publisher Web site:||http://dx.doi.org/10.1007/s00222-002-0267-2|
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|Date of first online publication:||April 2003|
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