A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space

Author:
Katsuhiko Matsuzaki

Journal:
Proc. Amer. Math. Soc. **135** (2007), 2573-2579

MSC (2000):
Primary 30F60; Secondary 32G15

Published electronically:
March 22, 2007

MathSciNet review:
2302578

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Abstract | References | Similar Articles | Additional Information

Abstract: For an analytically infinite Riemann surface , the quasiconformal mapping class group always acts faithfully on the ordinary Teichmüller space . However in this paper, an example of is constructed for which acts trivially on its asymptotic Teichmüller space .

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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

Email:
matsuzak@math.okayama-u.ac.jp

DOI:
http://dx.doi.org/10.1090/S0002-9939-07-08761-8

Keywords:
Analytically infinite Riemann surface,
quasiconformal mapping class group,
asymptotic Teichm\"{u}ller space

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

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.