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Combinatorial $N_\infty$ operads

Jonathan Rubin

Algebraic & Geometric Topology 21 (2021) 3513–3568
Abstract

We prove that the homotopy theory of N 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.

Keywords
operad, $N$ operad, $N_\infty$ operad, equivariant, indexing system
Mathematical Subject Classification
Primary: 55P91
References
Publication
Received: 23 April 2020
Revised: 17 December 2020
Accepted: 25 January 2021
Published: 28 December 2021
Authors
Jonathan Rubin
University of California Los Angeles
Los Angeles, CA
United States