The geometry of the handlebody groups I: Distortion

Details The geometry of the handlebody groups I: Distortion The geometry of the handlebody groups I: Distortion

2011-01-10

arxiv.org/abs/1101.1838v2

Mathematics

Group Theory

31 pages, 3 figures

Scientific paper

We show that the mapping class group of a handlebody of genus at least 2
(with any number of marked points or spots) is exponentially distorted in the
mapping class group of its boundary surface. The same holds true for solid tori
with at least two marked points or spots.

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