Accidental parabolics in mapping class groups

Details Accidental parabolics in mapping class groups Accidental parabolics in mapping class groups

2007-03-27

arxiv.org/abs/math/0703806v1

Mathematics

Geometric Topology

9 pages

Scientific paper

In this note 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 in earlier work. Specifically, we show
that generically there are no Cannon--Thurston maps from the Gromov boundary to
Thurston's boundary of Teichmuller space.

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