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The moduli space of the modular group in complex hyperbolic geometry

Falbel, Elisha; Parker, John R.

Authors

Elisha Falbel



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 ³-spheres of Falbel-Zocca are related to the Â-spheres (hybrid spheres) of Schwartz.

Citation

Falbel, E., & Parker, J. R. (2003). The moduli space of the modular group in complex hyperbolic geometry. Inventiones Mathematicae, 152(1), 57-88. https://doi.org/10.1007/s00222-002-0267-2

Journal Article Type Article
Publication Date 2003-04
Deposit Date Feb 29, 2008
Journal Inventiones Mathematicae
Print ISSN 0020-9910
Electronic ISSN 1432-1297
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 152
Issue 1
Pages 57-88
DOI https://doi.org/10.1007/s00222-002-0267-2
Publisher URL http://www.springerlink.com/content/nnncv56ard4p2ahd/

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