The cluster complex for cluster Poisson varieties and representations of acyclic quivers

Carolina Melo, Alfredo Nájera Chávez

Let $\mathcal{X}$ be a skew-symmetrizable cluster Poisson variety. The cluster complex ${\Delta }^{+}(\mathcal{X})$ was introduced by Gross, Hacking, Keel and Kontsevich. It codifies the the…