Degenerating slopes with respect to Heegaard distance

Jiming Ma, Ruifeng Qiu

Let $M=H_{+}{\cup }_S{H}_{-}$ be a genus $g$ Heegaard splitting with Heegaard distance $n\ge \kappa +2$: (1) Let $c_1$, $c_2$ be two slopes in the same component of $\partial_{-}H_{-}…