Kentaro ITO

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Schottky groups and Bers boundary of Teichmueller space
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Abstract

We will show that every Kleinian groups on a Bers boundary of the
Teichm\"{u}ller 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.

submission: June 25, 1999

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