Triple delooping for multiplicative hyperoperads
Algebraic Topology
2023-09-27 v1
Abstract
Using techniques developed by Batanin and the first author, we extend the Turchin/Dwyer-Hess double delooping result to further iterations of the Baez-Dolan plus construction. For , we introduce a notion of -bimodules which extends the notions of bimodules and infinitesimal bimodules over the terminal non-symmetric operad. We show that a double delooping always exists for these bimodules. For the triple iteration of the Baez-Dolan construction starting from the initial -coloured operad, we provide a further reduceness condition to have a third delooping.
Cite
@article{arxiv.2309.15055,
title = {Triple delooping for multiplicative hyperoperads},
author = {Florian De Leger and Maroš Grego},
journal= {arXiv preprint arXiv:2309.15055},
year = {2023}
}