# 07-1352/Class Notes for March 20

Today's Agenda. The up-to-vertex-operations uniqueness of an ${\mathcal A}$-valued algebraic knot theory.
• The group ${\mathcal A}^V\subset {\mathcal A}(\theta)$ and its action on the set ${\mathcal Z}$ of ${\mathcal A}$-valued algebraic knot theories.
• The group ${\mathcal A}^F\subset {\mathcal A}(\uparrow_2)$ and its action on the set of all associators.
• An aside about braided $\theta$-graphs: