The first homology of ${\mathrm{IA}}_n$ with coefficients in spaces of Jacobi diagrams

Mai Katada

The aim of this paper is to compute the first homology of ${\mathrm{IA}}_n$ with coefficients in the $\mathrm{Aut}(F_n)$-module $A_2(n)$ of Jacobi diagrams of degree $2$…