Homotopy theory of simplicial parametrized operads
Algebraic Topology
2026-04-03 v2
Abstract
We define a generalization of (coloured) operads based on double lax functors and we construct a model structure on the associated category of generalized simplicial (coloured) operads. In particular, we obtain a model structure on the category of simplicial (coloured) O-operads of Nardin and Shah.
Cite
@article{arxiv.2510.06932,
title = {Homotopy theory of simplicial parametrized operads},
author = {Gregoire Marc},
journal= {arXiv preprint arXiv:2510.06932},
year = {2026}
}