From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes

Yu Qiu, Liheng Tang

For any point $\mathrm{X}$ in the cluster complex $\mathrm{Cpx}(\mathcal{C})$ of a 2-Calabi-Yau category $\mathcal{C}$, we introduce $\mathrm{X}$-evolution flow on $\mathrm{Cpx}(\m…