Notes for AKT-090924-1/0:07:33

We can also express [math]\displaystyle{ \mathcal{A}_n=\mathcal{D}^0_n/b(\mathcal{D}^1_n) }[/math] where [math]\displaystyle{ \mathcal{D}^0_n }[/math] is the v.s. of chord diagrams with [math]\displaystyle{ n }[/math] chords, [math]\displaystyle{ \mathcal{D}^1_n }[/math] is the v.s. of chord diagrams with one [math]\displaystyle{ T }[/math] shape and [math]\displaystyle{ (n-2) }[/math] chords and [math]\displaystyle{ b }[/math] is the map that takes the [math]\displaystyle{ T }[/math] shape to the signed sum of its four resolutions as in the 4T relation.