2 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…

Begin with an oriented triangulation of the once-punctured torus described in the source, and retain $e$ as a formal variable rather than setting it equal to $1$. Iterated flips in…