Enriched Koszul Duality

Björn Eurenius

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arXiv · 2306.00853

Enriched Koszul Duality

Björn Eurenius

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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.

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Björn Eurenius. 2023-06-01. Enriched Koszul Duality. https://arxiv.org/abs/2306.00853

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