Non-stationary and discontinuous quasiconformal mapping class groups

Ege Fujikawa, Katsuhiko Matsuzaki

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)173-185
Number of pages13
JournalOsaka Journal of Mathematics
Volume44
Issue number1
Publication statusPublished - 2007 Mar
Externally publishedYes

Fingerprint

Quasiconformal Mapping
Mapping Class Group
Riemann Surface
Subgroup

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Non-stationary and discontinuous quasiconformal mapping class groups. / Fujikawa, Ege; Matsuzaki, Katsuhiko.

In: Osaka Journal of Mathematics, Vol. 44, No. 1, 03.2007, p. 173-185.

Research output: Contribution to journalArticle

@article{38807be0986f47e7bc86491914908e74,
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.",
author = "Ege Fujikawa and Katsuhiko Matsuzaki",
year = "2007",
month = "3",
language = "English",
volume = "44",
pages = "173--185",
journal = "Osaka Journal of Mathematics",
issn = "0030-6126",
publisher = "Osaka University",
number = "1",

}

TY - JOUR

T1 - Non-stationary and discontinuous quasiconformal mapping class groups

AU - Fujikawa, Ege

AU - Matsuzaki, Katsuhiko

PY - 2007/3

Y1 - 2007/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=34249004255&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249004255&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:34249004255

VL - 44

SP - 173

EP - 185

JO - Osaka Journal of Mathematics

JF - Osaka Journal of Mathematics

SN - 0030-6126

IS - 1

ER -