Poincar\'e/Koszul Duality for General Operads
Algebraic Topology
2021-08-03 v3
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 -disks operad relates to their work when combined with the self-Koszul duality of .
Cite
@article{arxiv.1910.09076,
title = {Poincar\'e/Koszul Duality for General Operads},
author = {Araminta Amabel},
journal= {arXiv preprint arXiv:1910.09076},
year = {2021}
}
Comments
Revised after referee comments