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arXiv · 1809.09340

On the elliptic Kashiwara-Vergne Lie algebra

Elise Raphael·Leila Schneps
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Abstract

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

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Elise Raphael, Leila Schneps. 2018-09-25. On the elliptic Kashiwara-Vergne Lie algebra. https://arxiv.org/abs/1809.09340

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