English

Homotopy derivations of the framed little discs operads

Algebraic Topology 2020-06-19 v1 Mathematical Physics math.MP

Abstract

We study the homotopy derivations of the framed little discs operads, which correspond to the homotopy derivations of the BV2n operads. By extending a result by Willwacher about the homotopy derivations of the en operads we show that the homotopy derivations of the BV2n operads may be described through the cohomology of a suitable graph complex. We will present an explicit quasi-isomorphic map.

Keywords

Cite

@article{arxiv.2006.10612,
  title  = {Homotopy derivations of the framed little discs operads},
  author = {Simon Brun},
  journal= {arXiv preprint arXiv:2006.10612},
  year   = {2020}
}