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.

中文翻译：

---

手柄体组中的（未）变形稳定器

我们研究了车把组中稳定器的几何特性。我们发现子午线的稳定器没有畸变，而原始曲线或环的稳定器对于足够大的属却呈指数扭曲。