A countable Teichmüller modular group


We construct an example of a Riemann surface of infinite topological type for which the Teichmüller modular group consists of only a countable number of elements. We also consider distinguished properties which the Teichmüller space of this Riemann surface possesses.

submission: 15 September, 2004
to appear in Trans. Amer. Math. Soc.

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