(Un)distorted stabilisers in the handlebody group
arXiv:1901.04387 · doi:10.1112/topo.12186
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.
arXiv comment34 pages, 7 figures, accepted for publication by the Journal of Topology