3 problems

Let $Q$ be a finite connected acyclic quiver. Write $\operatorname{Stab}(\mathcal{D}^b(Q))$ for the space of stability conditions on $\mathcal{D}^b(Q)$, and let…

Let $Q$ be an acyclic quiver, and endow it with its standard cyclic ordering, as constructed in the cited observation. A cyclically ordered quiver is totally proper when every quiv…

Lee's conjecture. Let $P_Q$ be the set of permutations $\pi$ such that, whenever $a>b$, there is no arrow from $\pi(a)$ to $\pi(b)$. Then