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
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U2 - 10.1090/S0002-9939-07-08761-8
DO - 10.1090/S0002-9939-07-08761-8
M3 - Article
AN - SCOPUS:58449108447
SN - 0002-9939
VL - 135
SP - 2573
EP - 2579
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 8
ER -