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).
- Analytically infinite Riemann surface
- Asymptotic Teichmüller space
- Quasiconformal mapping class group
ASJC Scopus subject areas
- Applied Mathematics