English

Planar non-formality of the little discs operad in characteristic two

Algebraic Topology 2018-11-08 v2

Abstract

We show that the little discs operad D2D_2 is not formal over F2\mathbb{F}_2 as a planar (or non-symmetric) operad. We compute explicitly the homological obstruction using as chain model the cells of the spineless cacti operad

Keywords

Cite

@article{arxiv.1807.11671,
  title  = {Planar non-formality of the little discs operad in characteristic two},
  author = {Paolo Salvatore},
  journal= {arXiv preprint arXiv:1807.11671},
  year   = {2018}
}

Comments

11 pages