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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 Teichm√ľller spaces by trace functions and action of mapping class groups
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by Gou Nakamura and Toshihiro Nakanishi PDF
Conform. Geom. Dyn. 20 (2016), 25-42 Request permission

Abstract:

We give a set of trace functions which give a global parametrization of the Teichm√ľller space $\mathcal {T}(g,n)(L_1,\dots ,L_n)$ of hyperbolic surfaces of genus $g$ with $n$ geodesic boundary components of lengths $L_1$,‚Ķ, $L_n$ such that the action of the mapping class group on the Teichm√ľller space can be represented by rational transformations in the parameters.
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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): July 2, 2015
  • Received by editor(s) in revised form: January 11, 2016
  • Published electronically: March 18, 2016
  • Additional Notes: The first author was partially supported by the JSPS KAKENHI Grant No. 25400147.
    The second author was partially supported by the JSPS KAKENHI Grant No. 22540191.

  • Dedicated: Dedicated to the memory of Professor Mika Sepp√§l√§
  • © Copyright 2016 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 20 (2016), 25-42
  • MSC (2010): Primary 32G15; Secondary 30F35
  • DOI: https://doi.org/10.1090/ecgd/289
  • MathSciNet review: 3475293