Work

The Hopf Algebra of Formal Multiple Polylogarithms

Year: 2025

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnaf361

Authors: Steven Charlton, Andrei Matveiakin, Danylo Radchenko, Daniil Rudenko

Institutions: Max Planck Institute for Mathematics, Centre National de la Recherche Scientifique, Université de Lille, Laboratoire Paul Painlevé, University of Chicago

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7119797050

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Cites: 25

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