A relation between Turaev coaction, Goncharov--Brown coaction and the reduced coaction Lie algebra
arXiv:2504.17416
Abstract
We present a formula that relates the Turaev coaction and the Goncharov-Brown coaction. Motivated by this relation, we introduce the reduced coaction equation. The skew-symmetric solutions to this equation form a Lie algebra under Ihara bracket.
9 pages, comments are welcome