70 citations · 345 across the 56 of their papers we have counts for
12 papers · 1 filter
Elliptic hyperlogarithms
Benjamin Enriquez, Federico Zerbini
Let be a complex elliptic curve and be a non-empty finite subset of . We show that the functions introduced in arXiv:1712.07089 out of string…
Analogues of hyperlogarithm functions on affine complex curves
Benjamin Enriquez, Federico Zerbini
For a smooth affine complex curve, there is a unique minimal subalgebra of the algebra of holomorphic functions on its universal cover $\tild…
The stabilizer bitorsors of the module and algebra harmonic coproducts are equal
Benjamin Enriquez, Hidekazu Furusho
In earlier work, we constructed a pair of "Betti" and "de Rham" Hopf algebras and a pair of module-coalgebras over this pair, as well as the bitorsors related to both structures (w…
Construction of Maurer-Cartan elements over configuration spaces of curves
Benjamin Enriquez, Federico Zerbini
For a complex curve and , a pair of a principal bundle with meromorphic flat connection over , holomorphic over…
The Betti side of the double shuffle theory: a survey
Benjamin Enriquez
This is a survey of arXiv:1803.10151v4, arXiv:1807.07786v2 and arXiv:1908.00444v2 by H. Furusho and the author. The purpose of this series of papers is: (1) to give a proof that as…
The Betti side of the double shuffle theory. III. Bitorsor structures
Benjamin Enriquez, Hidekazu Furusho
In the two first parts of the series, we constructed stabilizer subtorsors of a `twisted Magnus' torsor, studied their relations with the associator and double shuffle torsors, and…