Filling systems of maximum size

Rakesh Kumar, Shiv Parsad

Let $S_g$ be a closed orientable surface of genus $g\ge 2$. A collection $\hat{I}\text{c◯}=\{{\hat{I}}_1^3,\dots ,{\hat{I}}_s^3\}$ of pairwise non-homotopic simple closed curves on $S_g$ such that ${\hat{I}}_i^3$ and…