Condensation of the operad for multiplicative hyperoperads
Algebraic Topology
2025-07-15 v1
Abstract
We construct a map of operads from an -operad to the condensation of the operad for multiplicative hyperoperads. We deduce from it the existence of an -action on the homotopy limit of the underlying functor of a multiplicative hyperoperad. This result is the higher dimensional analogue of a result due to Batanin and Berger implying Deligne's conjecture.
Cite
@article{arxiv.2507.10192,
title = {Condensation of the operad for multiplicative hyperoperads},
author = {Florian De Leger and Maroš Grego},
journal= {arXiv preprint arXiv:2507.10192},
year = {2025}
}