Automorphisms of framed operads

Fuente: arXiv
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Autori principali: Horel, Geoffroy, Willwacher, Thomas
Natura: Preprint
Pubblicazione: 2024
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author Horel, Geoffroy
Willwacher, Thomas
author_facet Horel, Geoffroy
Willwacher, Thomas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_11185
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Automorphisms of framed operads
Horel, Geoffroy
Willwacher, Thomas
Algebraic Topology
Quantum Algebra
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.
title Automorphisms of framed operads
topic Algebraic Topology
Quantum Algebra
url https://arxiv.org/abs/2403.11185