Fricke surfaces and PSL(2, ℂ)-representations
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 ). In this chapter, we give a detailed study of the fundamental groups of Fricke surfaces and their representations to PSL(2, ℂ).
KeywordsFundamental Group Elliptic Generator Kleinian Group Complex Probability Isotopy Class
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