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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.AT2024★ 1 cited
Simple homotopy invariance of the loop coproduct
Florian Naef, Pavel Safronov
We prove a transformation formula for the Goresky-Hingston loop coproduct in string topology under homotopy equivalences of manifolds. The formula involves the trace of the Whitehe…
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 KZ…