Global Koszul Duality: Differential Graded Cocommutative Coalgebras and Curved Lie Algebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910068889354240 |
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| author | Mallon, Alexander Wang, You |
| author_facet | Mallon, Alexander Wang, You |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23111 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global Koszul Duality: Differential Graded Cocommutative Coalgebras and Curved Lie Algebras Mallon, Alexander Wang, You Quantum Algebra 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. |
| title | Global Koszul Duality: Differential Graded Cocommutative Coalgebras and Curved Lie Algebras |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2603.23111 |