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Fricke surfaces and PSL(2, ℂ)-representations

Part of the Lecture Notes in Mathematics book series (LNM, volume 1909)

The topological once-punctured torus T, the 4-times punctured sphere S and the (2, 2, 2, ∞)-orbifold O are commensurable, and are called Fricke surfaces (see [74]). In this chapter, we give a detailed study of the fundamental groups of Fricke surfaces and their representations to PSL(2, ℂ).

Keywords

Fundamental Group Elliptic Generator Kleinian Group Complex Probability Isotopy Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

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