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)

Fingerprint Dive into the research topics of 'Non-stationary and discontinuous quasiconformal mapping class groups'. Together they form a unique fingerprint.

Cite this

@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 = mar,

day = "1",

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 - 2007/3/1

Y1 - 2007/3/1

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 -

Non-stationary and discontinuous quasiconformal mapping class groups

Abstract

ASJC Scopus subject areas

Other files and links

Cite this