The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts

DOI10.1016/j.jpaa.2023.107550arXiv2304.04061OpenAlexW4387641567MaRDI QIDQ6146467

Khalef Yaddaden

Publication date: 5 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.04061

zbMATH Keywords

torsormultiple polylogarithm valuesfiltered algebraBetti coproductsde Rham coproductsdouble shuffle and regularization relations

Mathematics Subject Classification ID

Group schemes (14L15) Filtered associative rings; filtrational and graded techniques (16W70) Hopf algebras and their applications (16T05) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Coalgebras and comodules; corings (16T15)

Cites Work

• Unnamed Item
• Unnamed Item
• Double shuffle relation for associators
• The Betti side of the double shuffle theory. I. The harmonic coproducts.
• Multiple polylogarithms, cyclotomy and modular complexes
• Double shuffles of multiple polylogarithms at roots of unity
• Reports of the Midwest category seminar. III
• Rational homotopy theory
• Homotopy limits, completions and localizations
• The Betti side of the double shuffle theory. III: Bitorsor structures
• Groupes fondamentaux motiviques de Tate mixte
• Completions of mapping class groups and the cycle $C - C^-$
• A Stabilizer Interpretation of Double Shuffle Lie Algebras

This page was built for publication: The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts