ScalingStacks

Theorem 1.4.1. If $F_{1}$ and $F_{2}$ are surfaces with arc decompositions glued as in Theorem 1.3.1 to form $F$, then

$$A(F)\cong A(F_{1}){\hskip 1.9919pt\otimes\hskip-10.81218pt\bigcirc}A(F_{2})$$

as higher representations of $\mathfrak{gl}(1|1)^{+}$.