Non-existence of epimorphisms between certain genus two handlebody-knot groups (Ryo Nikkuni, Tokyo Woman’s Christian University)
For two genus $g$ handlebody-knots $H_{1}$ and $H_{2}$, we denote $H_{1} \geq H_{2}$ if there exists an epimorphism from the fundamental group of the handlebody-knot complement of $H_{1}$ onto the one of $H_{2}$. In the case of $g = 1$, this order is a partial order on the set of prime knots and has been […]