Cusps Are Dense
نویسنده
چکیده
We show cusps are dense in Bers' boundary for Teichm uller space. The proof rests on an estimate for the algebraic eeect of a unit quasiconformal deformation supported in the thin part of a hyperbolic Riemann surface.
منابع مشابه
Hyperbolic Components of Mcmullen Maps
In this article, we study the hyperbolic components of McMullen maps. We show that the boundaries of all hyperbolic components are Jordan curves. This settles a problem posed by Devaney. As a consequence, we show that cusps are dense on the boundary of the unbounded hyperbolic component. This is a dynamical analogue of McMullen’s theorem that cusps are dense on the Bers’ boundary of Teichmüller...
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