Combinatorial N∞ operads

Jonathan Rubin

doi:10.2140/agt.2021.21.3513

Abstract

We prove that the homotopy theory of $N_\infty$ operads is equivalent to a homotopy theory of discrete operads, and we construct free and associative operadic realizations of every indexing system. This resolves a conjecture of Blumberg and Hill in the affirmative.

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Jonathan Rubin. "Combinatorial $N_\infty$ operads." Algebr. Geom. Topol. 21 (7) 3513 - 3568, 2021. https://doi.org/10.2140/agt.2021.21.3513

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Received: 23 April 2020; Revised: 17 December 2020; Accepted: 25 January 2021; Published: 2021

First available in Project Euclid: 11 March 2022

MathSciNet: MR4357612

zbMATH: 1482.55011

Digital Object Identifier: 10.2140/agt.2021.21.3513

Subjects:

Primary: 55P91

Keywords: equivariant , indexing system , N operad , N∞ operad , operad

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