标题： 范畴论中Deligne-Terasoma对双重求和理论的方法表述 显示英文标题

标题： A categorical formulation of the Deligne-Terasoma approach to double shuffle theory

摘要： 在本文中，我们引入了具有分解结构的双模（BFS）的概念，并证明这种结构会产生一个代数同态。 然后我们证明，这个框架提供了一种对双倍打乱理论中贝蒂数和德拉姆调和乘积几何构造的解释，该理论由Enriquez-Furusho发展，受Deligne-Terasoma未发表的预印本启发。 显示英文摘要

摘要： 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 framework offers an interpretation of the geometric construction underlying both the Betti and de Rham harmonic coproducts of the double shuffle theory developed Enriquez-Furusho inspired by an unpublished preprint of Deligne-Terasoma.