Poincar\'e/Koszul Duality for General Operads
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 En relates to their work when combined with the self-Koszul duality of En.
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