On the homotopy theory of equivariant colored operads
Algebraic Topology
2022-12-21 v2
Abstract
We build model structures on the category of equivariant simplicial operads with weak equivalences determined by families of subgroups, in the context of operads with a varying set of colors (and building on the fixed color model structures in the prequel). In particular, by specifying to the family of graph subgroups (or, more generally, one of the indexing systems of Blumberg-Hill), we obtain model structures on the category of equivariant simplicial operads whose weak equivalences are determined by norm map data.
Keywords
Cite
@article{arxiv.2004.01352,
title = {On the homotopy theory of equivariant colored operads},
author = {Peter Bonventre and Luis Alexandre Pereira},
journal= {arXiv preprint arXiv:2004.01352},
year = {2022}
}
Comments
v2: Improved exposition, and other minor edits in response to referee suggestions. arXiv admin note: substantial text overlap with arXiv:1908.05440