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Naturality of ${\rm SL}_n$ quantum trace maps for surfaces

Naturality of ${\rm SL}_n$ quantum trace maps for surfaces

The ${\rm SL}_n$-skein algebra of a punctured surface $\mathfrak{S}$, studied by Sikora, is an algebra generated by isotopy classes of $n$-webs living in the thickened surface $\mathfrak{S} \times (-1,1)$, where an $n$-web is a union of framed links and framed oriented $n$-valent graphs satisfying certain conditions. For each ideal triangulation …