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A countable Teichmüller modular group
Author(s):
Katsuhiko
Matsuzaki
Journal:
Trans. Amer. Math. Soc.
357
(2005),
3119-3131.
MSC (2000):
Primary 30F60;
Secondary 32G15
Posted:
November 4, 2004
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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.
References:
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Additional Information:
Katsuhiko
Matsuzaki
Affiliation:
Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, Tokyo 112-8610, Japan
Email:
matsuzak@math.ocha.ac.jp
DOI:
10.1090/S0002-9947-04-03765-1
PII:
S 0002-9947(04)03765-1
Keywords:
Teichm\"{u}ller space,
quasiconformal mapping class group,
hyperbolic Riemann surface,
pants decomposition.
Received by editor(s):
September 17, 2003
Posted:
November 4, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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