2 papers
math.QA2026
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…
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.