English

Equivariant dendroidal Segal spaces and $G$-$\infty$-operads

Algebraic Topology 2021-06-09 v3

Abstract

We introduce the analogues of the notions of complete Segal space and of Segal category in the context of equivariant operads with norm maps, and build model categories with these as the fibrant objects. We then show that these model categories are Quillen equivalent to each other and to the model category for GG-\infty-operads built in a previous paper. Moreover, we establish variants of these results for the Blumberg-Hill indexing systems. In an appendix, we discuss Reedy categories in the equivariant context.

Keywords

Cite

@article{arxiv.1801.02110,
  title  = {Equivariant dendroidal Segal spaces and $G$-$\infty$-operads},
  author = {Peter Bonventre and Luis Alexandre Pereira},
  journal= {arXiv preprint arXiv:1801.02110},
  year   = {2021}
}

Comments

Improved exposition in light of the referee's comments

R2 v1 2026-06-22T23:38:21.228Z