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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2573-2579
Number of pages7
JournalProceedings of the American Mathematical Society
Volume135
Issue number8
DOIs
Publication statusPublished - 2007 Aug
Externally publishedYes

Fingerprint

Quasiconformal Mapping
Mapping Class Group
Riemann Surface

Keywords

  • Analytically infinite Riemann surface
  • Asymptotic Teichmüller space
  • Quasiconformal mapping class group

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

@article{dae22e8bab2c4ec5b77fabc8679b4836,
title = "A quasiconformal mapping class group acting trivially on the asymptotic Teichm{\"u}ller space",
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",
year = "2007",
month = "8",
doi = "10.1090/S0002-9939-07-08761-8",
language = "English",
volume = "135",
pages = "2573--2579",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "8",

}

TY - JOUR

T1 - A quasiconformal mapping class group acting trivially on the asymptotic Teichmüller space

AU - Matsuzaki, Katsuhiko

PY - 2007/8

Y1 - 2007/8

N2 - 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).

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).

KW - Analytically infinite Riemann surface

KW - Asymptotic Teichmüller space

KW - Quasiconformal mapping class group

UR - http://www.scopus.com/inward/record.url?scp=58449108447&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58449108447&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-07-08761-8

DO - 10.1090/S0002-9939-07-08761-8

M3 - Article

AN - SCOPUS:58449108447

VL - 135

SP - 2573

EP - 2579

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 8

ER -