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math.QA2026
The kernel of formal polylogarithms
Anton Alekseev, Megan Howarth, Florian Naef +2
Polylogarithmic functions (polylogs) in variables can be viewed as elements of , the dual of the universal enveloping algebra of the Lie algebra $\mathfr…
math.QA2024
Poisson brackets and coaction maps of regularized holonomies of the KZ equation
Anton Alekseev, Florian Naef, Muze Ren
We derive explicit closed formulas for the Kirillov-Kostant-Souriau (KKS) coaction maps of open path regularized holonomies of the Knizhnik-Zamolodchikov (KZ) equation, and the cor…
math.QA2024
Generalized Pentagon Equations
Anton Alekseev, Florian Naef, Muze Ren
Drinfeld defined the Knizhinik--Zamolodchikov (KZ) associator by considering the regularized holonomy of the KZ connection along the {\em droit chemin} . The K…