A possible linear map from Goncharov's B_n(F) to the co-Lie algebra of mixed Tate motives is considered via motivic polylogarithms, supported under Beilinson-Soulé K-group vanishing assumptions.
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On a relation of a conjecture of Goncharov to the co-Lie algebra of Bloch-Kriz mixed Tate motives
A possible linear map from Goncharov's B_n(F) to the co-Lie algebra of mixed Tate motives is considered via motivic polylogarithms, supported under Beilinson-Soulé K-group vanishing assumptions.