Koszul duality in exact categories
Category Theory
2023-12-29 v2 K-Theory and Homology
Abstract
In this paper we establish Koszul duality type results in the setting of chain complexes in exact categories. In particular we prove generalisations of Vallette's cooperadic Koszul duality theorem, and operadic Koszul duality along the lines of Lurie. We also prove a connective version. We conclude with some applications, including our main example, the category of complete bornological spaces over a Banach field.
Cite
@article{arxiv.1905.10102,
title = {Koszul duality in exact categories},
author = {Jack Kelly},
journal= {arXiv preprint arXiv:1905.10102},
year = {2023}
}
Comments
67 Pages; Some minor errors corrected; some other minor changes based on referee comments