200 citations · 1.6k across the 65 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 with…
Goldman-Turaev formality from the Knizhnik-Zamolodchikov connection
Anton Alekseev, Florian Naef
For an oriented 2-dimensional manifold of genus with boundary components the space carries the Goldman-Turaev Li…
Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra
Anton Alekseev, Nariya Kawazumi, Yusuke Kuno +1
We define a family of Kashiwara-Vergne problems associated with compact connected oriented 2-manifolds of genus with boundary components. The problem $…
Divergence and q-divergence in depth 2
Anton Alekseev, Anna Lachowska, Elise Raphael
The Kashiwara-Vergne Lie algebra encodes symmetries of the Kashiwara-Vergne problem on the properties of the Campbell-Hausdorff series. It is conjectures that $\ma…
Logarithms and deformation quantization
Anton Alekseev, Carlo A. Rossi, Charles Torossian +1
We prove the statement/conjecture of M. Kontsevich on the existence of the logarithmic formality morphism. This question was open since 1999, and the main obstacle was the presence…
On rational Drinfeld associators
Anton Alekseev, Masha Podkopaeva, Pavol Severa
We prove an estimate on denominators of rational Drinfeld associators. To obtain this result, we prove the corresponding estimate for the p-adic associators stable under the action…