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Equivariant dendroidal sets and simplicial operads

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arxiv 1911.06399 v3 pith:ZN74ZQ6G submitted 2019-11-14 math.AT

Peter Bonventre , Luis Alexandre Pereira This is my paper · ORCID
classification math.AT
keywords equivariantoperadssimplicialcategorydendroidalequivalencehomotopymaps
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abstract

We establish a Quillen equivalence between the homotopy theories of equivariant Segal operads and equivariant simplicial operads with norm maps. Together with previous work, we further conclude that the homotopy coherent nerve is a right-Quillen equivalence from the model category of equivariant simplicial operads with norm maps to the model category structure for equivariant-$\infty$-operads in equivariant dendroidal sets.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Homotopy theory of equivariant operads with fixed colors

    math.AT 2019-08 accept novelty 7.0 of 10

    Fixed-color equivariant simplicial operads admit model structures whose weak equivalences are detected by graph subgroups or by any chosen (G,Sigma)-family of subgroups.

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