Distance $4$ curves on closed surfaces of arbitrary genus

Kuwari Mahanta, Sreekrishna Palaparthi

Let $S_g$ denote a closed, orientable surface of genus $g\ge 2$ and $\mathcal{C}(S_g)$ be the associated curve complex. The mapping class group of $S_g$, $Mod(S_g)$ acts on $\mat…