4 problems

Let $B=\mathbb C\widehat{Q}'$ be the path algebra of $\widehat{Q}'$ with potential $W'$, let $A=\operatorname{Jac}(B,W')$, and let $\omega\in A$ be central. Define the partition fu…

Let $f_d:M_d(\widetilde{Q}')\to\mathbb C$ be the lifted trace-of-potential function on the representation atlas described in the paper, and let $[\phi_{f_d}]$ denote its motivic va…

Let $Q$ be a quiver with potential $W$, and let $\Omega_{Q,W,\upgamma}$ be the motivic Donaldson–Thomas invariants defined from the motivic DT partition function. Integrality conje…

Let $\operatorname{Q}^{(3)}$ be the quiver with three loops $a,b,c$, and let $W_3=a[b,c]+c^3$ be its homogeneous deformed Weyl potential. For each $n\in\mathbb{Z}_{\geq 1}$, write…