2 papers
math.QA2026
Notes on Ecalle's and Brown's solutions to the double shuffle relations modulo products
Hidekazu Furusho, Minoru Hirose, Nao Komiyama
We investigate relationships between polar/polynomial solutions to the double shuffle relations modulo products, which were independently introduced by Brown and Ecalle.
math.QA2023
Associators in mould theory
Hidekazu Furusho, Minoru Hirose, Nao Komiyama
By developing various techniques of mould theory and establishing a quasi-involutive reformulation of Drinfeld's associator set, we introduce $\mathsf{GARI}(\mathscr{F})_{\mathsf{a…