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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A countable Teichmüller modular group
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by Katsuhiko Matsuzaki PDF
Trans. Amer. Math. Soc. 357 (2005), 3119-3131 Request permission

Abstract:

We construct an example of a Riemann surface of infinite topological type for which the Teichmüller modular group consists of only a countable number of elements. We also consider distinguished properties which the Teichmüller space of this Riemann surface possesses.
References
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Additional Information
  • Katsuhiko Matsuzaki
  • Affiliation: Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, Tokyo 112-8610, Japan
  • MR Author ID: 294335
  • ORCID: 0000-0003-0025-5372
  • Email: matsuzak@math.ocha.ac.jp
  • Received by editor(s): September 17, 2003
  • Published electronically: November 4, 2004
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 357 (2005), 3119-3131
  • MSC (2000): Primary 30F60; Secondary 32G15
  • DOI: https://doi.org/10.1090/S0002-9947-04-03765-1
  • MathSciNet review: 2135738