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

Abstract

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 $H$ via a given homotopy retraction of $L$ onto $H$.

New references and minor corrections

References in corpus (2)

• A-infinity structure on Ext-algebras
• Polyhedral products for shifted complexes and higher Whitehead products

Cited by in corpus (6)

• The character map in (twisted differential) non-abelian cohomology
• Rational Homotopy Theory
• A-infinity structures and Massey products
• $L_{\infty }$ and $A_{\infty }$ structures: then and now
• Higher structures in rational homotopy theory
• Optimising the topological information of the $A_{\infty }$-persistence groups