Simple loops on 2-bridge spheres in Heckoid orbifolds for 2-bridge links
Simple loops on 2-bridge spheres in Heckoid orbifolds for 2-bridge links
Following Riley's work,for each $2$-bridge link $K(r)$ of slope $r∈\mathbb{R}$and an integer or a half-integer $n$ greater than $1$,we introduce the Heckoid orbifold $S(r;n)$and the Heckoid group $G(r;n)=\pi_1(S(r;n))$ ofindex $n$ for $K(r)$.When $n$ is an integer,$S(r;n)$ is called an even Heckoid orbifold;in this case, the underlying space is the exterior …