Refilling meridians in a genus 2 handlebody complement

On the Complex of Separating meridians in Handlebodies

For a handlebody of genus $g\geq6$ it is shown that every automorphism of the complex of separating meridians can be extended to an automorphism on the complex of all meridians and, in consequence, it is geometric.

(Un)distorted stabilisers in the handlebody group

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.

具有柄体单演（handlebody monodromy）的 Lefschetz 纤维化

Lefschetz fibrations with handlebody monodromy

本文研究柄体单演的相对极小 Lefschetz 纤维化，证明其符号差等于负临界点数，并刻画存在性条件及超椭圆情形与换位子长度性质。

柄体群有限指数子群的交换化

Abelianizations of finite-index subgroups of the handlebody group

研究亏格≥4时柄体映射类群是否有非平凡有理交换化有限指数子群这一问题，通过证明子午线多重扭转在特定子群的\(H_1(\Gamma;\mathbb{Q})\)中消失及某些子群的\(H_1(\Gamma;\mathbb{Q}) = 0\)，提供不存在此类子群的证据。

柄体群的Prym表示

Prym Representations of the Handlebody Group

本文将Looijenga的Prym表示限制到柄体群及其扭转子群上，并在循环情形下确定了这些表示的像，推进了柄体群表示理论的研究。

自由群与3-流形群乘积中的方程II：奥尔桑斯基满同态

Equations in Products of Free Groups and 3-Manifold Groups II: Olshanskii Epimorphisms

本文证明所有奥尔桑斯基满同态均为标准的，构造性处理了Q₈情形，给出哈拉兰波娃等人所宣布结果的详细证明，未使用佩雷尔曼定理等。