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

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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 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 1
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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