Tropical Fock-Goncharov coordinates for ${\mathrm{SL}}_3$-webs on surfaces I: construction

Daniel C. Douglas, Zhe Sun

For a finite-type surface $\mathfrak{S}$, we study a preferred basis for the commutative algebra $\mathbb{C}[{\mathcal{R}}_{{\mathrm{SL}}_3(\mathbb{C})}(\mathfrak{S})]$ of regular func…