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Enriched Koszul duality

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Enriched Koszul duality. / Eurenius, B.
In: Journal of Homotopy and Related Structures, Vol. 19, No. 3, 09.2024, p. 397-429.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Eurenius, B 2024, 'Enriched Koszul duality', Journal of Homotopy and Related Structures, vol. 19, no. 3, pp. 397-429. https://doi.org/10.1007/s40062-024-00349-2

APA

Eurenius, B. (2024). Enriched Koszul duality. Journal of Homotopy and Related Structures, 19(3), 397-429. https://doi.org/10.1007/s40062-024-00349-2

Vancouver

Eurenius B. Enriched Koszul duality. Journal of Homotopy and Related Structures. 2024 Sept;19(3):397-429. Epub 2024 Jul 3. doi: 10.1007/s40062-024-00349-2

Author

Eurenius, B. / Enriched Koszul duality. In: Journal of Homotopy and Related Structures. 2024 ; Vol. 19, No. 3. pp. 397-429.

Bibtex

@article{8ba2b357069b4366b98ef83c1ce93a5a,
title = "Enriched Koszul duality",
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.",
keywords = "Koszul duality, Model categories, Monoidal categories",
author = "B. Eurenius",
year = "2024",
month = sep,
doi = "10.1007/s40062-024-00349-2",
language = "English",
volume = "19",
pages = "397--429",
journal = "Journal of Homotopy and Related Structures",
issn = "2193-8407",
publisher = "Springer Science + Business Media",
number = "3",

}

RIS

TY - JOUR

T1 - Enriched Koszul duality

AU - Eurenius, B.

PY - 2024/9

Y1 - 2024/9

N2 - 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.

AB - 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.

KW - Koszul duality

KW - Model categories

KW - Monoidal categories

U2 - 10.1007/s40062-024-00349-2

DO - 10.1007/s40062-024-00349-2

M3 - Journal article

VL - 19

SP - 397

EP - 429

JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

SN - 2193-8407

IS - 3

ER -