Title : Boundary slopes (nearly) bound cyclic slopes
Speaker : Thomas W. Mattman (California State University, Chico)
Abstract :

Let $r_m$ and $r_M$ be the least and greatest ˇ·nite bound- ary slopes of a hyperbolic knot $K$ in $S^3$. We show that any cyclic surgery slopes of $K$ must lie in the interval $[r_{m}-1 /2, r_M +1 /2 ]$.

pdf-file