Francis Brown
The values at 1 of single-valued multiple polylogarithms span a certain subalgebra of multiple zeta values. In this paper, the properties of this algebra are studied from the point of view of motivic periods.
This paper contains 40 sections, 22 theorems, 179 equations.
Theorem 1.1
There is a natural homomorphism $\mathcal{H} \rightarrow \mathcal{H}^{\mathrm{sv}}$ which sends $\zeta^{ \mathfrak{m}}(n_1,\ldots, n_r)$ to $\zeta^{ \mathfrak{m}}_{\mathrm{sv}}(n_1,\ldots, n_r)$. In particular, the $\zeta^{ \mathfrak{m}}_{\mathrm{sv}}(n_1,\ldots,n_r)$ satisfy all motivic relations f where $n_i \in \{2,3\}$ and $(n_1,\ldots, n_r)$ is a Lyndon word (for the ordering $3<2$) of odd we
