English

Equivariant dendroidal sets and simplicial operads

Algebraic Topology 2022-12-15 v3

Abstract

We establish a Quillen equivalence between the homotopy theories of equivariant Segal operads and equivariant simplicial operads with norm maps. Together with previous work, we further conclude that the homotopy coherent nerve is a right-Quillen equivalence from the model category of equivariant simplicial operads with norm maps to the model category structure for equivariant-\infty-operads in equivariant dendroidal sets.

Keywords

Cite

@article{arxiv.1911.06399,
  title  = {Equivariant dendroidal sets and simplicial operads},
  author = {Peter Bonventre and Luis Alexandre Pereira},
  journal= {arXiv preprint arXiv:1911.06399},
  year   = {2022}
}

Comments

v3: Improvements to exposition and minor edits, in response to referee suggestions

R2 v1 2026-06-23T12:16:37.177Z