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Fricke surfaces and PSL(2, ℂ)-representations

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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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© 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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