(Un)distorted stabilisers in the handlebody group
Geometric Topology
2021-04-07 v2 Group Theory
Abstract
We study geometric properties of stabilisers in the handlebody group. We find that stabilisers of meridians are undistorted, while stabilisers of primitive curves or annuli are exponentially distorted for large enough genus.
Cite
@article{arxiv.1901.04387,
title = {(Un)distorted stabilisers in the handlebody group},
author = {Sebastian Hensel},
journal= {arXiv preprint arXiv:1901.04387},
year = {2021}
}
Comments
34 pages, 7 figures, accepted for publication by the Journal of Topology