The geometry of the handlebody groups I: Distortion
Group Theory
2015-03-17 v2 Geometric Topology
Metric Geometry
Abstract
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.
Cite
@article{arxiv.1101.1838,
title = {The geometry of the handlebody groups I: Distortion},
author = {Ursula Hamenstädt and Sebastian Hensel},
journal= {arXiv preprint arXiv:1101.1838},
year = {2015}
}
Comments
31 pages, 3 figures