3 problems

Let $\mathcal{G}$ be the snake graph and let $P(\mathcal{G}^*)$ be the associated poset; write $U_{P(\mathcal{G}^*);m}(q)$ for the rank generating function of $m$-dimer covers. Hig…

Let $(S,M)$ be a marked surface and let $\mathcal{A}^{\mathrm{bd}}$ be the cluster algebra from $(S,M)$ with boundary frozen variables. For a triangulation $T$ and an arc $\gamma$,…

Let $m>2$ be a Markov number, meaning an integer belonging to a triple of positive integers satisfying … For coprime positive integers $a<b$, the palindromification of the snake gr…