Non-stationary and discontinuous quasiconformal mapping class groups

Ege Fujikawa; Katsuhiko Matsuzaki

Non-stationary and discontinuous quasiconformal mapping class groups

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

Abstract

Every stationary subgroup of the quasiconformal mapping class group of a Riemann surface acts on the Teichmüller space discontinuously if the surface satisfies a certain geometric condition. In this paper, we construct such a Riemann surface that the quasiconformal mapping class group is non-stationary but it still acts on the Teichmüller space discontinuously.

Original language	English
Pages (from-to)	173-185
Number of pages	13
Journal	Osaka Journal of Mathematics
Volume	44
Issue number	1
Publication status	Published - 2007 Mar 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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title = "Non-stationary and discontinuous quasiconformal mapping class groups",

abstract = "Every stationary subgroup of the quasiconformal mapping class group of a Riemann surface acts on the Teichm{\"u}ller space discontinuously if the surface satisfies a certain geometric condition. In this paper, we construct such a Riemann surface that the quasiconformal mapping class group is non-stationary but it still acts on the Teichm{\"u}ller space discontinuously.",

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