Enriched Koszul Duality
Category Theory
2023-06-02 v1 Algebraic Topology
Abstract
We show that the category of non-counital conilpotent dg-coalgebras and the category of non-unital dg-algebras carry model structures compatible with their closed non-unital monoidal and closed non-unital module category structures respectively. Furthermore, we show that the Quillen equivalence between these two categories extends to a non-unital module category Quillen equivalence, i.e. providing an enriched form of Koszul duality.
Cite
@article{arxiv.2306.00853,
title = {Enriched Koszul Duality},
author = {Björn Eurenius},
journal= {arXiv preprint arXiv:2306.00853},
year = {2023}
}