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Non-continuity of the action of the modular group at Bers’ boundary of Teichmüller space. (English) Zbl 0698.32014
It is shown that canonical homeomorphism between two Bers’ imbeddings of Teichmüller space $$T_ g$$, $$g\geq 2$$, in general, do not extend to homeomorphism of their compactifications. In particular, for $$g=2$$ the action of modular group of $$T_ g$$ does not extend continuously to its Bers’ compactification.
Reviewer: A.D.Mednych

##### MSC:
 32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) 30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization) 32J05 Compactification of analytic spaces
##### Keywords:
Teichmüller space; Bers’ compactification
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##### References:
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