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Homotopy theory of
equivariant operads with fixed colors
Peter Bonventre and Luís A. Pereira |
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Vol. 4 (2022), No. 1, 87–158
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DOI: 10.2140/tunis.2022.4.87
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Abstract |
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We build model structures on the category of equivariant simplicial operads with a fixed set of colors, with weak equivalences determined by families of subgroups. In particular, by specifying to the family of graph subgroups (or, more generally, one of the indexing systems of Blumberg and Hill), we obtain model structures on the category of equivariant simplicial operads with a fixed set of colors, with weak equivalences determined by norm map data. |
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Keywords
operads, equivariant, homotopy theory, colored operads,
model categories
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Mathematical Subject Classification
Primary: 18M75, 18N40
Secondary: 55P48
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Milestones
Received: 3 November 2020
Revised: 7 June 2021
Accepted: 7 July 2021
Published: 30 March 2022
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Authors |
| Peter Bonventre | |
| Department of Mathematics &
Statistics Georgetown University Washington, DC United States |
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| Luís A. Pereira | |
| Physics Building Duke University Durham, NC United States |
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