Topological model for q-deformed rational number and categorification

Li Fan, Yu Qiu

Let ${\mathbf{D}}_3$ be a bigraded 3-decorated disk with an arc system $\mathbf{A}$. We associate a bigraded simple closed arc ${\hat{\eta }}_{\frac{r}{s}}$ on ${\mathbf{D}}_3$ to any…