Abstract
We will show that every Kleinian groups on a Bers boundary of the Teichmüller space is an algebraic limit of a sequence of Schottky groups. To show this, we extend the action of the mapping class group on a Bers slice to that on a class of function groups whose invariant components are covering some fixed Riemann surface. An important observation is that the orbit of every maximal cusp is dense in a Bers boundary.
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© 2000 Kluwer Academic Publishers
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Ito, K. (2000). Schottky Groups and Bers Boundary of Teichmüller Space. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_25
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DOI: https://doi.org/10.1007/978-1-4613-0271-1_25
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