English

Equivariant dendroidal sets

Algebraic Topology 2018-05-02 v3

Abstract

We extend the Cisinski-Moerdijk-Weiss theory of \infty-operads to the equivariant setting to obtain a notion of GG-\infty-operads that encode "equivariant operads with norm maps" up to homotopy. At the root of this work is the identification of a suitable category of GG-trees together with a notion of GG-inner horns capable of encoding the compositions of norm maps. Additionally, we follow Blumberg and Hill by constructing suitable variants associated to each of the indexing systems featured in their work.

Keywords

Cite

@article{arxiv.1702.08119,
  title  = {Equivariant dendroidal sets},
  author = {Luis Alexandre Pereira},
  journal= {arXiv preprint arXiv:1702.08119},
  year   = {2018}
}

Comments

Final version to appear in Algebraic & Geometric Topology

R2 v1 2026-06-22T18:28:57.607Z