Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra

Anton Alekseev, Nariya Kawazumi, Yusuke Kuno +1

We define a family ${\mathrm{KV}}^{(g,n)}$ of Kashiwara-Vergne problems associated with compact connected oriented 2-manifolds of genus $g$ with $n+1$ boundary components. The problem $…