The Betti side of the double shuffle theory. III: Bitorsor structures

DOI10.1007/S00029-023-00825-2OpenAlexW2901582933MaRDI QIDQ2689086

Benjamin Enriquez, Hidekazu Furusho

Publication date: 6 March 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.00444

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (2)

The \(\ell\)-adic hypergeometric function and associators ⋮ The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts

Cites Work

• Double shuffle relation for associators
• The Betti side of the double shuffle theory. I. The harmonic coproducts.
• Exactness properties of profinite completion functors
• Galois Cohomology
• Double shuffles of multiple polylogarithms at roots of unity
• The Betti side of the double shuffle theory. II: Double shuffle relations for associators
• Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P¹- {0,1, ∞}
• A Stabilizer Interpretation of Double Shuffle Lie Algebras
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