Degenerating the complex hyperbolic ideal triangle groups
By Richard Evan Schwartz. 2001
49 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/96eed78de894fafee7342f04339a708a79251701
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In Applied Mathematics
In Geometry and Topology
- Anna Pratoussevitch
- Martin Deraux
- Elisha Falbel
- Richard Evan Schwartz
- Serge Tabachnikov
- William M. Goldman
- Misha Bialy
Citations in the corpus
- Traces in Complex Hyperbolic Triangle Groups (2004, methodology): “He proved that an ideal triangle group representation is a discrete embedding if and only if cos α 6 61 64. In [ Sch01a ] he also used the”
- COMPLEX HYPERBOLIC GEOMETRY OF THE FIGURE EIGHT KNOT (2013, background): “Indeed, Schwartz showed in [17] that the Whitehead link complement admits a uniformizable spherical CR structure, and in [18] he found an example of a closed hyperbolic manifold that arises as the boundary of a complex hyperbolic surface.”
- Spherical CR Geometry and Dehn Surgery (2007, background): “The geometry of this group is discussed in [10] and in Chapters 20 and 21 of the book under review.”
- Real hyperbolic on the outside, complex hyperbolic on the inside (2003, background): “The domain of Ψ is S 3 −[ E0 K ]−[ E∞ K ] and the range is the flat cylinder R/2π Z × Z .W e discussed Ψ in detail in [S1] and [ S2 ], where we called it the elevation map.”
- Complex hyperbolic triangle groups (2003, methodology): “I also use hybrid cones in [17], to construct a natural fundamental domain in the domain of discontinuity ∆(L) for the last ideal triangle group L.”