English

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

Algebraic Topology 2018-11-15 v2

Abstract

We detect higher order Whitehead products on the homology HH of a differential graded Lie algebra LL in terms of higher brackets in the transferred LL_\infty structure on HH via a given homotopy retraction of LL onto HH.

Cite

@article{arxiv.1604.01478,
  title  = {Higher order Whitehead products and $L_\infty$ structures on the homology of a DGL},
  author = {Francisco Belchí and Urtzi Buijs and José M. Moreno-Fernández and Aniceto Murillo},
  journal= {arXiv preprint arXiv:1604.01478},
  year   = {2018}
}

Comments

New references and minor corrections