Deriving motivic coactions and single-valued maps at genus zero from zeta generators
Abstract
Multiple polylogarithms are equipped with rich algebraic structures, including the motivic coaction and the single-valued map which both found fruitful applications in high-energy physics. In recent work arXiv:2312.00697, the current authors presented a conjectural reformulation of the motivic coaction and the single-valued map via zeta generators, certain operations on non-commuting variables in suitable generating series of multiple polylogarithms. In this work, the conjectures of the reference will be proven for multiple polylogarithms that depend on any number of variables on the Riemann sphere.
Fields of Study & Subjects
Advanced Mathematical Identities
Algebraic structures and combinatorial models
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Communications in Number Theory and Physics
- Publisher
- International Press of Boston
- Volume
- 20
- Issue
- 2
- Pages
- 391–460
- Publication date
- 1 January 2026
- Language
- EN