Higher order Whitehead products and $L_{\infty }$ structures on the homology of a DGL

Francisco Belchí, Urtzi Buijs, José M. Moreno-Fernández +1

We detect higher order Whitehead products on the homology $H$ of a differential graded Lie algebra $L$ in terms of higher brackets in the transferred $L_{\infty }$ structure on $H$ vi…