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Proceedings of the American Mathematical Society

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

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space
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by Katsuhiko Matsuzaki PDF
Proc. Amer. Math. Soc. 135 (2007), 2573-2579 Request permission

Abstract:

For an analytically infinite Riemann surface $R$, the quasiconformal mapping class group $\operatorname {MCG}(R)$ always acts faithfully on the ordinary Teichmüller space $T(R)$. However in this paper, an example of $R$ is constructed for which $\operatorname {MCG}(R)$ acts trivially on its asymptotic Teichmüller space $AT(R)$.
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Additional Information
  • Katsuhiko Matsuzaki
  • Affiliation: Department of Mathematics, Ochanomizu University, Tokyo 112-8610, Japan
  • Address at time of publication: Department of Mathematics, Okayama University, Okayama 700-8530, Japan
  • MR Author ID: 294335
  • ORCID: 0000-0003-0025-5372
  • Email: matsuzak@math.okayama-u.ac.jp
  • Received by editor(s): August 16, 2005
  • Received by editor(s) in revised form: April 19, 2006
  • Published electronically: March 22, 2007
  • Communicated by: Juha M. Heinonen
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 2573-2579
  • MSC (2000): Primary 30F60; Secondary 32G15
  • DOI: https://doi.org/10.1090/S0002-9939-07-08761-8
  • MathSciNet review: 2302578