Polynomial $2$-monads and delooping
Algebraic Topology
2026-05-26 v1
Abstract
Using the homotopy theory of polynomial monads developed by Batanin and Berger and extended to the -categorical context by Weber, we prove the cofinality of a particular morphism of polynomial -monads. We apply our result to give a new proof of the delooping of derived mapping spaces of infinitesimal bimodules due to Ducoulombier and Turchin.
Cite
@article{arxiv.2605.25222,
title = {Polynomial $2$-monads and delooping},
author = {Florian De Leger},
journal= {arXiv preprint arXiv:2605.25222},
year = {2026}
}