Showing 2025Show all
3 papers · 1 filter
math.AT2025
On the compatibility of the Betti harmonic coproduct with cyclotomic filtrations
Benjamin Enriquez, Khalef Yaddaden
In a previous paper, the second author introduced a Betti counterpart of -cyclotomic double shuffle theory for any . The construction is based on the group algebra of…
math.NT2025
A categorical formulation of the Deligne-Terasoma approach to double shuffle theory
Benjamin Enriquez, Khalef Yaddaden
In this paper, we introduce the notion of a bimodule with a factorization structure (BFS) and show that such a structure gives rise to an algebra morphism. We then prove that this…
math.NT2025
An alternative -form of the cyclotomic double shuffle Lie algebra
Hidekazu Furusho, Khalef Yaddaden
We present an alternative -form for Racinet's cyclotomic double shuffle Lie algebra, inspired by the double shuffle relations among congruent multiple zeta values studi…