4 papers
math.QA2026
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…
math.GT2026
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 mappin…
math.NT2025
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…
math.NT2025
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…