On the elliptic Kashiwara-Vergne Lie algebra
Quantum Algebra
2018-09-26 v1 Geometric Topology
Abstract
We recall the definitions of two independently defined elliptic versions of the Kashiwara-Vergne Lie algebra , namely the Lie algebra 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 defined using mould theoretic techniques arising from multiple zeta theory by E.Raphael and L.Schneps, and show that they coincide.
Keywords
Cite
@article{arxiv.1809.09340,
title = {On the elliptic Kashiwara-Vergne Lie algebra},
author = {Elise Raphael and Leila Schneps},
journal= {arXiv preprint arXiv:1809.09340},
year = {2018}
}