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).


Fundamental Group Elliptic Generator Kleinian Group Complex Probability Isotopy Class 
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© Springer-Verlag Berlin Heidelberg 2007

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