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On the homotopy theory
of equivariant colored operads
Peter Bonventre and Luís A Pereira |
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Algebraic & Geometric Topology 22 (2022) 2631–2688
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DOI: 10.2140/agt.2022.22.2631
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Abstract |
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We build model structures on the category of equivariant simplicial operads with weak equivalences determined by families of subgroups, in the context of operads with a varying set of colors (and building on the fixed color model structures in the prequel). In particular, by specifying to the family of graph subgroups (or, more generally, one of the indexing systems of Blumberg–Hill), we obtain model structures on the category of equivariant simplicial operads whose weak equivalences are determined by norm map data. |
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Keywords
operads, model categories, colored operads, equivariant
operads, equivariant homotopy theory, simplicial operads
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Mathematical Subject Classification
Primary: 55U10, 55U35, 55U40
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References |
Publication
Received: 4 April 2020
Revised: 23 February 2021
Accepted: 23 July 2021
Published: 13 December 2022
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Authors |
| Peter Bonventre | |
| College of the Holy Cross Worcester, MA United States |
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| Luís A Pereira | |
| Duke University Durham, NC United States |
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