Mainiero's generalized W Poincaré polynomial conjecture
Let n≥3n\geq 3n≥3 and let d⃗\vec{d}d be a dimension vector. Write PnW(y)=P(∣Wn,d⃗⟩;y)P^{\mathrm{W}}_n(y)=P\left(\lvert\mathrm{W}_{n,\vec{d}}\rangle;y\right)PnW(y)=P(∣Wn,d⟩;y). Mainiero's generalized W Poincaré polynomial…