Coordinates for ${\mathrm{SL}}_3$-web basis elements in closed surfaces

Zhe Sun, Zhihao Wang

The ${\mathrm{SL}}_3$-skein algebra of a closed surface ${\Sigma }_g$ is a quantization of the ${\mathrm{SL}}_3$ character variety of ${\Sigma }_g$, where $g$ denotes the genus of the surface. This algebra…