Pré-Publication, Document De Travail Année : 2022

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

Résumé

In the first two parts of the series, we constructed stabilizer subtorsors of a 'twisted Magnus' torsor, studied their relations with the associator and double shuffle torsors, and explained their 'de Rham' nature. In this paper, we make the associated bitorsor structures explicit and explain the 'Betti' nature of the corresponding right torsors; we thereby complete one aim of the series. We study the discrete and prop versions of the 'Betti' group of the double shuffle bitorsor.

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hal-03821060 , version 1 (19-10-2022)

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  • HAL Id : hal-03821060 , version 1

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Benjamin Enriquez, Hidekazu Furusho. The Betti side of double shuffle theory. III. Bitorsor structures. 2022. ⟨hal-03821060⟩
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