3 papers
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 mapping c…
math.NT2017
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…
math.GT2017
Profinite completions of Burnside-type quotients of surface groups
Louis Funar, Pierre Lochak
Using quantum representations of mapping class groups we prove that profinite completions of Burnside-type surface group quotients are not virtually prosolvable, in general. Furthe…