On the elliptic Kashiwara-Vergne Lie algebra

2018/09/25 by Raphael, Elise, Schneps, Leila
#FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1809.09340

Abstract

We recall the definitions of two independently defined elliptic versions of the Kashiwara-Vergne Lie algebra \frakkrv, namely the Lie algebra \frakkrv^(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 \frakkrv_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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