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arXiv · 2603.23111

Global Koszul Duality: Differential Graded Cocommutative Coalgebras and Curved Lie Algebras

Alexander Mallon·You Wang
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Abstract

We give a combinatorial model structure to the category of, not necessarily conilpotent, differential graded (dg) cocommutative coalgebras and an $\infty$-category structure to the category of curved Lie algebras over an algebraically closed field of characteristic $0$. Further, we extend the Harrison and Chevally-Eilenberg functors between dg cocommutative conilpotent coalgebras and dg Lie algebras to these categories and show they form an equivalence of $\infty$-categories.

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BibTeXRIS

Alexander Mallon, You Wang. 2026-03-24. Global Koszul Duality: Differential Graded Cocommutative Coalgebras and Curved Lie Algebras. https://arxiv.org/abs/2603.23111

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