The Charney-Davis conjecture for simple thin polyominoes

Manoj Kummini, Dharm Veer

Let $\mathcal{P}$ be a simple thin polyomino and $\mathbb{k}$ a field. Let $R$ be the toric $\mathbb{k}$-algebra associated to $\mathcal{P}$. Write the Hilbert series of $R$ as $h_{R}(t)/(1-…