The Hopf algebra of formal multiple polylogarithms
Number Theory
2025-08-20 v2 Algebraic Geometry
Abstract
We define a Hopf algebra of polylogarithms of an arbitrary field, which is a candidate for a conjectural Hopf algebra of framed mixed Tate motives. Our definition is elementary and mimics Goncharov's construction of higher Bloch groups. We also discuss the Hodge and motivic realizations of the Hopf algebra of polylogarithms.
Cite
@article{arxiv.2411.15071,
title = {The Hopf algebra of formal multiple polylogarithms},
author = {Steven Charlton and Andrei Matveiakin and Danylo Radchenko and Daniil Rudenko},
journal= {arXiv preprint arXiv:2411.15071},
year = {2025}
}
Comments
27 pages, 1 figure