Minimal models for graph-related (hyper)operads

We construct explicit minimal models for the (hyper)operads governing modular, cyclic and ordinary operads, and wheeled properads, respectively. Algebras for these models are homotopy versions of the corresponding structures.

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Veröffentlicht in:Journal of pure and applied algebra 2023-07, Vol.227 (7), p.107329, Article 107329
Hauptverfasser: Batanin, Michael, Markl, Martin, Obradović, Jovana
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Sprache:eng
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Zusammenfassung:We construct explicit minimal models for the (hyper)operads governing modular, cyclic and ordinary operads, and wheeled properads, respectively. Algebras for these models are homotopy versions of the corresponding structures.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2023.107329