Geodesic
Equivariant dendroidal sets
Pereira, Luís Alexandre1
1 University of Notre Dame, South Bend, IN, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 2179-2244

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We extend the Cisinski–Moerdijk–Weiss theory of ∞–operads to the equivariant setting to obtain a notion of G-∞–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.

DOI : 10.2140/agt.2018.18.2179
Classification : 55U10, 55U35, 55U40, 18G30
Keywords: operads, dendroidal sets, $\infty$–operads, equivariant homotopy theory

Pereira, Luís Alexandre 1

1 University of Notre Dame, South Bend, IN, United States 
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Pereira, Luís Alexandre. Equivariant dendroidal sets. Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 2179-2244. doi: 10.2140/agt.2018.18.2179

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