The additive polylogarithm cycle boundary conjecture

Let $T\mathcal M(n)$ denote the additive part of the degree-$n$ component of the indecomposable space, and let $Z_n(a)$ be a codimension-$n$ cycle on

$$\mathbb A^1\times (\mathbb P^1-\{1\})^{2n-2}.$$

For $a\in\mathbb A^1-\{0\}$, write $\langle a\rangle_n$ for the corresponding element of $T\mathcal M(n)$, with $\langle a\rangle_1=a$, and let $\{a\}_{n-1}$ and $\{1-a\}_1$ denote the polylogarithm cycles introduced above. Additive polylogarithm cycle boundary conjecture. There exist elements $\langle a\rangle_n\in T\mathcal M(n)$ represented by such cycles $Z_n(a)$, satisfying

$$\partial\langle a\rangle_n=\langle a\rangle_{n-1}\cdot\{1-a\}_1+\langle 1-a\rangle_1\cdot\{a\}_{n-1}\in\Big(\bigwedge^2\widetilde{\mathcal M}\Big)(n).$$

This proposes additive analogues of the polylogarithm cycles whose boundaries encode the expected coproduct relation. The supplied text gives no evidence that the construction or boundary identity has been proved, so its status remains open.