4 problems

Non-exotics conjecture. All states have $I_3=0$, and consequently the protected spin character coincides with the refined index

Semistable Tutte polynomial positivity conjecture. One has $T_Z(Q;t,q)\in\mathbb{N}[t,q]$. The conjecture is motivated by the positivity theorem for $a_Z(Q)$, and the source sugges…

The MPS formula is a wall-crossing formula for BPS invariants, with refined and unrefined versions expressed in terms of the relevant quiver invariants. MPS wall-crossing equivalen…

Exponential positivity conjecture. Then $b_{\boldsymbol{\alpha}}(q)\in\mathbb{N}[q]$ for every $\boldsymbol{\alpha}\in\mathbb{N}^r$. The conjecture was proved by Markus Reineke for…