## Limit sets and regions of discontinuity of Teichmüller modular groups

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- by Ege Fujikawa PDF
- Proc. Amer. Math. Soc.
**132**(2004), 117-126 Request permission

## 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.## References

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## Additional Information

**Ege Fujikawa**- Affiliation: Department of Mathematics, Tokyo Institute of Technology, Oh-okayama Meguro-ku Tokyo 152-8551, Japan
- MR Author ID: 706593
- Email: fujikawa@math.titech.ac.jp
- Received by editor(s): August 12, 2002
- Published electronically: February 28, 2003
- Communicated by: Juha M. Heinonen
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**132**(2004), 117-126 - MSC (2000): Primary 30F60; Secondary 30C62
- DOI: https://doi.org/10.1090/S0002-9939-03-06988-0
- MathSciNet review: 2021254