70 citations · 99 across the 5 of their papers we have counts for
10 papers
Answering Two OPAC Problems Involving Banff Quivers
Tucker J. Ervin, Blake Jackson
In a post on the Open Problems in Algebraic Combinatorics (OPAC) blog, E. Bucher and J. Machacek posed three open problems: OPAC-033, OPAC-034, and OPAC-035. These three problems d…
A construction of the polylogarithm motive
Clément Dupont, Javier Fresán
Classical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line , which is an extension…
The localization spectral sequence in the motivic setting
Clément Dupont, Daniel Juteau
We construct and study a motivic lift of a spectral sequence associated to a stratified scheme, recently discovered by Petersen in the context of mixed Hodge theory and -adic…
Single-valued integration and superstring amplitudes in genus zero
Francis Brown, Clément Dupont
We study open and closed string amplitudes at tree-level in string perturbation theory using the methods of single-valued integration which were developed in the prequel to this pa…
Lauricella hypergeometric functions, unipotent fundamental groups of the punctured Riemann sphere, and their motivic coactions
Francis Brown, Clément Dupont
The goal of this paper is to raise the possibility that there exists a meaningful theory of `motives' associated to certain hypergeometric integrals, viewed as functions of their p…
Single-valued integration and double copy
Francis Brown, Clément Dupont
We study a single-valued integration pairing between differential forms and dual differential forms which subsumes some classical constructions in mathematics and physics. It can b…