On boundaries of teichmüller spaces and on kleinian groups, III

William Abikoff

Acta Mathematica · 1975 · 50 citations · 9 references

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Abstract

The Teichmfiller space of a marked Riemann surface S, of finite conformal type (g, n) with signature or of a finitely generated Fuchsian group of the first kind representing S, was shown to have a complex structure by Ahlfors Bers [7] later showed that it could be embedded as a bounded domain in the space of bounded quadratic differentials on S; this space has dimension 3g-3

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