TY - JOUR
T1 - Accidental parabolics in the mapping class group
AU - Leininger, Christopher J.
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2009/3
Y1 - 2009/3
N2 - In this paper we discuss the behavior of the Gromov boundaries and limit sets for the surface subgroups of the mapping class group with accidental parabolics constructed by the author and A. Reid (2006). Specifically, we show that generically there are no Cannon-Thurston maps from the Gromov boundary to Thurston's boundary of Teichmüller space.
AB - In this paper we discuss the behavior of the Gromov boundaries and limit sets for the surface subgroups of the mapping class group with accidental parabolics constructed by the author and A. Reid (2006). Specifically, we show that generically there are no Cannon-Thurston maps from the Gromov boundary to Thurston's boundary of Teichmüller space.
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U2 - 10.1090/S0002-9939-08-09604-4
DO - 10.1090/S0002-9939-08-09604-4
M3 - Article
AN - SCOPUS:77950530714
SN - 0002-9939
VL - 137
SP - 1153
EP - 1160
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 3
ER -