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A countable Teichmüller modular group |
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| Authors: | Katsuhiko Matsuzaki |
| Institution: | Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, Tokyo 112-8610, Japan |
| Abstract: | 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. |
| Keywords: | Teichm\"{u}ller space quasiconformal mapping class group hyperbolic Riemann surface pants decomposition |
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