Parametrizations of some Teichmüller spaces by trace functions
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- by Gou Nakamura and Toshihiro Nakanishi
- Conform. Geom. Dyn. 17 (2013), 47-57
- DOI: https://doi.org/10.1090/S1088-4173-2013-00254-3
- Published electronically: April 2, 2013
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Abstract:
We show a tuple of trace functions which give a global parametrization of the Teichmüller space ${\mathcal T}(g,m)$ of types $(1,2)$ and $(2,0)$. We also show that the mapping class group acting on these Teichmüller spaces can be represented by a group of rational transformations in seven variables.References
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Bibliographic Information
- Gou Nakamura
- Affiliation: Science Division, Center for General Education, Aichi Institute of Technology, 1247 Yachigusa, Yakusa, Toyota, 470-0392, Japan
- MR Author ID: 639802
- Email: gou@aitech.ac.jp
- Toshihiro Nakanishi
- Affiliation: Department of Mathematics, Shimane University, Matsue, 690-8504, Japan
- MR Author ID: 225488
- Email: tosihiro@riko.shimane-u.ac.jp
- Received by editor(s): June 16, 2011
- Published electronically: April 2, 2013
- Additional Notes: The first author was partially supported by Grant-in-Aid for Young Scientists (B) (No. 20740081), Japan Society for the Promotion of Science.
The second author was partially supported by Grand-in-Aid for Scientific Research (No. 18540179), Ministry of Education, Science and Culture of Japan. - © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Conform. Geom. Dyn. 17 (2013), 47-57
- MSC (2010): Primary 32G15; Secondary 30F35
- DOI: https://doi.org/10.1090/S1088-4173-2013-00254-3
- MathSciNet review: 3037875