Koszul duality and Morita categories
arXiv:2608.27450
Abstract
We prove an -categorical version of Koszul duality for operads and cooperads in spectra by showing that there is an equivalence between a Morita category of operads and bimodules and a dual Morita category of cooperads and bicomodules. This result subsumes various forms of operadic Koszul duality present in the literature.
11 pages