English

Group actions on Segal operads

Algebraic Topology 2014-12-31 v2 Category Theory

Abstract

We give a Quillen equivalence between model structures for simplicial operads, described via the theory of operads, and Segal operads, thought of as certain reduced dendroidal spaces. We then extend this result to give an Quillen equivalence between the model structures for simplicial operads equipped with a group action and the corresponding Segal operads.

Keywords

Cite

@article{arxiv.1207.3465,
  title  = {Group actions on Segal operads},
  author = {Julia E. Bergner and Philip Hackney},
  journal= {arXiv preprint arXiv:1207.3465},
  year   = {2014}
}

Comments

Revised version. Accepted to Isr J Math

R2 v1 2026-06-21T21:35:43.887Z