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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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Parametrizations of some Teichmüller spaces by trace functions
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by Gou Nakamura and Toshihiro Nakanishi PDF
Conform. Geom. Dyn. 17 (2013), 47-57 Request permission

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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Additional 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