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arXiv · 2605.25222

Polynomial $2$-monads and delooping

Florian De Leger
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Abstract

Using the homotopy theory of polynomial monads developed by Batanin and Berger and extended to the $2$-categorical context by Weber, we prove the cofinality of a particular morphism of polynomial $2$-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.

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Florian De Leger. 2026-05-24. Polynomial $2$-monads and delooping. https://arxiv.org/abs/2605.25222

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