Popis: |
We recall the definitions of two independently defined elliptic versions of the Kashiwara–Vergne Lie algebra \({\mathfrak {krv}}\), namely the Lie algebra \({\mathfrak {krv}}^{(1,1)}\) constructed by Alekseev, Kawazumi, Kuno and Naef arising from the study of graded formality isomorphisms associated to topological fundamental groups of surfaces, and the Lie algebra \({\mathfrak {krv}}_{ell}\) defined using mould theoretic techniques arising from multiple zeta theory by Raphael and Schneps, and show that they coincide. |