Geodesic
Poincaré/Koszul duality for general operads
Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 1-30.

Voir la notice de l'article provenant de la source International Press of Boston

We record a result concerning the Koszul dual of the arity filtration on an operad. This result is then used to give conditions under which, for a general operad, the Poincaré/Koszul duality arrow of Ayala and Francis is an equivalence, using a proof similar to theirs. We discuss how the Poincaré/Koszul duality arrow for the little disks operad $\mathcal{E}_n$ relates to the work of Ayala and Francis when combined with the self-Koszul duality of $\mathcal{E}_n$.
DOI : 10.4310/HHA.2022.v24.n2.a1
Classification : 55Pxx
Keywords: operad, Koszul duality, Goodwillie calculus, factorization homology 
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     author = {Araminta Amabel},
     title = {Poincar\'e/Koszul duality for general operads},
     journal = {Homology, homotopy, and applications},
     pages = {1--30},
     publisher = {mathdoc},
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     year = {2022},
     doi = {10.4310/HHA.2022.v24.n2.a1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a1/}
}
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Araminta Amabel. Poincaré/Koszul duality for general operads. Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 1-30. doi : 10.4310/HHA.2022.v24.n2.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a1/

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