2 citations · 2 across the 4 of their papers we have counts for
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Batalin-Vilkovisky structures on moduli spaces of flat connections
Anton Alekseev, Florian Naef, Ján Pulmann +1
Let be a compact oriented 2-manifold (possibly with boundary), and let be the linear span of free homotopy classes of closed oriented curves on equipped w…
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…
The Johnson homomorphism, embedding calculus and graph complexes
Florian Naef, Thomas Willwacher
We explain how the Johnson homomorphism and the Enomoto-Satoh trace, as well as higher-loop-order generalizations, can be obtained from graph complexes originating in the Goodwilli…
Numerical computation of linearized KV and the Deligne-Drinfeld and Broadhurst-Kreimer conjectures
Florian Naef, Thomas Willwacher
We compute numerically the dimensions of the graded quotients of the linearized Kashiwara-Vergne Lie algebra lkv in low weight, confirming a conjecture of Raphael-Schneps in those…
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…