Abstract
We explicitly describe a candidate for the regulator map from $H^1_{\M} \bigl(\Spec \C , \Z(n) \bigr)$ into $\R$ using analogues of polylogarithms. When $n=2$, the above procedure agrees with the one in the author's paper \cite{MS01}, which was shown to be compatible with Bloch's dilogarithm.
Citation
Sung Myung. "Multilinear motivic polylogarithms." Illinois J. Math. 49 (3) 687 - 703, Fall 2005. https://doi.org/10.1215/ijm/1258138214
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