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Limit sets and regions of discontinuity of Teichmüller modular groups
Author(s):
Ege
Fujikawa
Journal:
Proc. Amer. Math. Soc.
132
(2004),
117-126.
MSC (2000):
Primary 30F60;
Secondary 30C62
Posted:
February 28, 2003
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Abstract:
For a Riemann surface of infinite type, the Teichmüller modular group does not act properly discontinuously on the Teichmüller space, in general. As an analogy to the theory of Kleinian groups, we divide the Teichmüller space into the limit set and the region of discontinuity for the Teichmüller modular group, and observe their properties.
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Additional Information:
Ege
Fujikawa
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Oh-okayama Meguro-ku Tokyo 152-8551, Japan
Email:
fujikawa@math.titech.ac.jp
DOI:
10.1090/S0002-9939-03-06988-0
PII:
S 0002-9939(03)06988-0
Keywords:
Infinite dimensional Teichm\"uller space,
Teichm\"uller modular groups,
hyperbolic geometry
Received by editor(s):
August 12, 2002
Posted:
February 28, 2003
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2003,
American Mathematical Society
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