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arXiv · 1910.09076

Poincar\'e/Koszul Duality for General Operads

Araminta Amabel
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Abstract

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 Poincar\'e/Koszul duality arrow of Ayala-Francis is an equivalence. We discuss how the Poincar\'e/Koszul duality arrow for the little $n$-disks operad $\mathcal{E}_n$ relates to their work when combined with the self-Koszul duality of $\mathcal{E}_n$.

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Araminta Amabel. 2019-10-20. Poincar\'e/Koszul Duality for General Operads. https://arxiv.org/abs/1910.09076

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