2019/10/20 by Araminta Amabel, Amabel, Araminta
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT
paper · pdf · doi:10.48550/arxiv.1910.09076
Revised after referee comments
arxiv created 2021/07/30 · arxiv updated 2021/08/03
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-Francis is an equivalence. We discuss how the Poincaré/Koszul duality arrow for the little n-disks operad En relates to their work when combined with the self-Koszul duality of En.