Koszul self‐duality of manifolds

Abstract

AbstractWe show that Koszul duality for operads in can be expressed via generalized Thom complexes. As an application, we prove the Koszul self‐duality of the right module associated to a framed manifold . We discuss implications for factorization homology, embedding calculus, and confirm an old conjecture of Ching on the relation of Goodwillie calculus to manifold calculus.