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Bibliographic Details
Main Authors: Charlton, Steven, Matveiakin, Andrei, Radchenko, Danylo, Rudenko, Daniil
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.15071
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Table of Contents:
  • 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.