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

2025/06/18 by Enriquez, Benjamin, Yaddaden, Khalef
#16D20. Secondary 16W70 #20F36 #FOS: Mathematics #Number Theory (math.NT) #Primary 11M32 #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2506.15348

Abstract

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both the Betti and de Rham harmonic coproducts of the double shuffle theory developed Enriquez-Furusho inspired by an unpublished preprint of Deligne-Terasoma.

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