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).
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Fricke surfaces and PSL(2, ℂ)-representations. In: Punctured Torus Groups and 2-Bridge Knot Groups (I). Lecture Notes in Mathematics, vol 1909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71807-9_2
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DOI: https://doi.org/10.1007/978-3-540-71807-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71806-2
Online ISBN: 978-3-540-71807-9
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