Equivariant dendroidal sets

Pereira, Luís Alexandre

doi:10.2140/agt.2018.18.2179

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Equivariant dendroidal sets

Luís Alexandre Pereira

Algebraic & Geometric Topology 18 (2018) 2179–2244

DOI: 10.2140/agt.2018.18.2179

Abstract

We extend the Cisinski–Moerdijk–Weiss theory of $\infty$ –operads to the equivariant setting to obtain a notion of $G$ - $\infty$ –operads that encode “equivariant operads with norm maps” up to homotopy. At the root of this work is the identification of a suitable category of $G$ –trees together with a notion of $G$ –inner horns capable of encoding the compositions of norm maps.

Additionally, we follow Blumberg and Hill by constructing suitable variants associated to each of the indexing systems featured in their work.

Keywords

operads, dendroidal sets, $\infty$–operads, equivariant homotopy theory

Mathematical Subject Classification 2010

Primary: 55U10, 55U35, 55U40

Secondary: 18G30

References

Publication

Received: 20 March 2017

Revised: 6 October 2017

Accepted: 17 October 2017

Published: 26 April 2018

Authors

Luís Alexandre Pereira
University of Notre Dame South Bend, IN United States

Volume 18, issue 4 (2018)