200 citations · 1.6k across the 65 of their papers we have counts for
4 papers · 1 filter
Poisson Structures and Potentials
Anton Alekseev, Arkady Berenstein, Benjamin Hoffman +1
We introduce a notion of weakly log-canonical Poisson structures on positive varieties with potentials. Such a Poisson structure is log-canonical up to terms dominated by the poten…
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…
The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem
Anton Alekseev, Nariya Kawazumi, Yusuke Kuno +1
In this paper, we describe a surprising link between the theory of the Goldman-Turaev Lie bialgebra on surfaces of genus zero and the Kashiwara-Vergne (KV) problem in Lie theory. L…
Chern-Simons, Wess-Zumino and other cocycles from Kashiwara-Vergne and associators
Anton Alekseev, Florian Naef, Xiaomeng Xu +1
Descent equations play an important role in the theory of characteristic classes and find applications in theoretical physics, e.g. in the Chern-Simons field theory and in the theo…