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

Katsuhiko Matsuzaki

doi:10.1090/S0002-9939-07-08761-8

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

Katsuhiko Matsuzaki^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	2573-2579
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-07-08761-8
Publication status	Published - 2007 Aug
Externally published	Yes

Keywords

Analytically infinite Riemann surface
Asymptotic Teichmüller space
Quasiconformal mapping class group

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-07-08761-8

Cite this

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abstract = "For an analytically infinite Riemann surface R, the quasiconformal mapping class group MCG(R) always acts faithfully on the ordinary Teichm{\"u}ller space T(R). However in this paper, an example of R is constructed for which MCG(R) acts trivially on its asymptotic Teichm{\"u}ller space AT (R).",

keywords = "Analytically infinite Riemann surface, Asymptotic Teichm{\"u}ller space, Quasiconformal mapping class group",

author = "Katsuhiko Matsuzaki",

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AB - For an analytically infinite Riemann surface R, the quasiconformal mapping class group MCG(R) always acts faithfully on the ordinary Teichmüller space T(R). However in this paper, an example of R is constructed for which MCG(R) acts trivially on its asymptotic Teichmüller space AT (R).

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KW - Asymptotic Teichmüller space

KW - Quasiconformal mapping class group

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

Abstract

Keywords

ASJC Scopus subject areas

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