20 citations · 53 across the 7 of their papers we have counts for
13 papers
Moulds, Bimoulds, and some Lie algebras
Annika Burmester, Ulf Kühn, Leila Schneps
The Lie algebra of multiple zeta values is realized as the space of alternal moulds whose swap is alte…
The Grothendieck-Teichmüller group acts on the genus mapping class group with or marked point
Pierre Lochak, Hiroaki Nakamura, Leila Schneps
The goal of this article is to prove that the Grothendieck-Teichmüller group acts on and ,the (full) profinite genus mapping c…
The Fay relations satisfied by the elliptic associator
Leila Schneps
Let denote the elliptic associator constructed by Enriquez, a power series in two non-commutative variables defined as an iterated integral of the Kronecker function $F…
On the elliptic Kashiwara-Vergne Lie algebra
Elise Raphael, Leila Schneps
We recall the definitions of two independently defined elliptic versions of the Kashiwara-Vergne Lie algebra , namely the Lie algebra constructed b…
On linearised and elliptic versions of the Kashiwara-Vergne Lie algebra
Hidekazu Furusho, Nao Komiyama, Elise Raphael +1
The goal of this article is to define a linearized or depth-graded version , and a closely related elliptic version , of the Kashiwara-Vergne…
Elliptic multizetas and the elliptic double shuffle relations
Pierre Lochak, Nils Matthes, Leila Schneps
We define an elliptic generating series whose coefficients, the elliptic multizetas, are related to the elliptic analogues of multiple zeta values introduced by Enriquez as the coe…
On the derivation representation of the fundamental Lie algebra of mixed elliptic motives
Samuel Baumard, Leila Schneps
Richard Hain and Makoto Matsumoto constructed a category of universal mixed elliptic motives, and described the fundamental Lie algebra of this category: it is a semi-direct produc…
Mould theory and the double shuffle Lie algebra structure
Adriana Salerno, Leila Schneps
The real multiple zeta values are known to form a -algebra; they satisfy a pair of well-known families of algebraic relations called the double shuffle…
ARI, GARI, Zig and Zag: An introduction to Ecalle's theory of multiple zeta values
Leila Schneps
This text has two goals. The first is to give an introduction to Ecalle's work on mould theory, multiple zeta values and double shuffle theory and relate this work explicitly to th…
Elliptic multiple zeta values, Grothendieck-Teichmüller and mould theory
Leila Schneps
In this article we define an elliptic double shuffle Lie algebra that generalizes the well-known double shuffle Lie algebra to the elliptic situation. The double sh…
Double Shuffle and Kashiwara-Vergne Lie algebras
Leila Schneps
We prove that the double shuffle Lie algebra ds, dual to the space of new formal multiple zeta values, injects into the Kashiwara-Vergne Lie algebra krv defined and studied by Alek…
Period polynomial relations between double zeta values
Samuel Baumard, Leila Schneps
The even weight period polynomial relations in the double shuffle Lie algebra were discovered by Ihara, and completely classified by the second author by relating t…
The algebra of cell-zeta values
Francis Brown, Sarah Carr, Leila Schneps
In this paper, we introduce cell-forms on , which are top-dimensional differential forms diverging along the boundary of exactly one cell (connected component) o…