English

A spectral sequence for spaces of maps between operads

Algebraic Topology 2024-07-10 v3

Abstract

We construct a tower of fibrations approximating the derived mapping space between two simplicially enriched operads subject to mild conditions. The n-th stage of the tower is obtained by neglecting operations with more than n inputs. The main theorem describes the layers of this tower.

Keywords

Cite

@article{arxiv.1810.05589,
  title  = {A spectral sequence for spaces of maps between operads},
  author = {Florian Göppl},
  journal= {arXiv preprint arXiv:1810.05589},
  year   = {2024}
}

Comments

v2: some typos corrected, some simplifications, bibliography improved

R2 v1 2026-06-23T04:37:50.322Z