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Outputs (8)

Tetrahedral decomposition of punctured torus bundles (2003)
Book Chapter
Parker, J. R. (2003). Tetrahedral decomposition of punctured torus bundles. In Y. Komori, V. Markovic, & C. Series (Eds.), Kleinian Groups and Hyperbolic 3-Manifolds (275-291). (LMS Lecture Notes). Cambridge University Press

Pseudo-Anosov diffeomorphisms of the twice punctured torus (2003)
Book Chapter
Menzel, C., & Parker, J. R. (2003). Pseudo-Anosov diffeomorphisms of the twice punctured torus. In J. R. Cho, & J. Mennicke (Eds.), Recent Advances in Group Theory and Low-Dimensional Topology (141-154). (Research and Exposition in Mathematics). Heldermann Verlag

The moduli space of the modular group in complex hyperbolic geometry (2003)
Journal Article
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

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 deforma... Read More about The moduli space of the modular group in complex hyperbolic geometry.