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arXiv · 2403.11185

Automorphisms of framed operads

Geoffroy Horel·Thomas Willwacher
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Abstract

Let $\mathsf P$ be an operad acted upon by a group $G$, and let $\mathsf Q=\mathsf P\rtimes G$ be the corresponding framed operad. We relate the homotopy automorphism groups of $\mathsf P$ and $\mathsf Q$. We apply the result to compute the automorphisms of the framed little disks operad.

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Geoffroy Horel, Thomas Willwacher. 2024-03-17. Automorphisms of framed operads. https://arxiv.org/abs/2403.11185

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