Calabi–Yau structures on Drinfeld quotients and Amiot’s conjecture
In 2009, Claire Amiot gave a construction of Calabi–Yau structures on Verdier quotients. We sketch how to lift it to the dg setting. We use this construction as an important step in an outline of the proof of her conjecture on the structure of $2$-Calabi–Yau triangulated categories with a cluster-ti...
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| Language: | English |
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Académie des sciences
2024-03-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.541/ |
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| author | Keller, Bernhard Liu, Junyang |
| author_facet | Keller, Bernhard Liu, Junyang |
| author_sort | Keller, Bernhard |
| collection | DOAJ |
| description | In 2009, Claire Amiot gave a construction of Calabi–Yau structures on Verdier quotients. We sketch how to lift it to the dg setting. We use this construction as an important step in an outline of the proof of her conjecture on the structure of $2$-Calabi–Yau triangulated categories with a cluster-tilting object. |
| format | Article |
| id | doaj-art-12a7e30526e449fb80f9e81b4d27c0da |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-12a7e30526e449fb80f9e81b4d27c0da2025-02-07T11:16:25ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-03-01362G213514210.5802/crmath.54110.5802/crmath.541Calabi–Yau structures on Drinfeld quotients and Amiot’s conjectureKeller, Bernhard0Liu, Junyang1Université Paris Cité and Sorbonne Université, CNRS, IMJ-PRG, F-75013 Paris, FranceUniversité Paris Cité and Sorbonne Université, CNRS, IMJ-PRG, F-75013 Paris, FranceIn 2009, Claire Amiot gave a construction of Calabi–Yau structures on Verdier quotients. We sketch how to lift it to the dg setting. We use this construction as an important step in an outline of the proof of her conjecture on the structure of $2$-Calabi–Yau triangulated categories with a cluster-tilting object.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.541/Calabi–Yau structureVerdier quotientDrinfeld quotientAmiot’s conjecture |
| spellingShingle | Keller, Bernhard Liu, Junyang Calabi–Yau structures on Drinfeld quotients and Amiot’s conjecture Comptes Rendus. Mathématique Calabi–Yau structure Verdier quotient Drinfeld quotient Amiot’s conjecture |
| title | Calabi–Yau structures on Drinfeld quotients and Amiot’s conjecture |
| title_full | Calabi–Yau structures on Drinfeld quotients and Amiot’s conjecture |
| title_fullStr | Calabi–Yau structures on Drinfeld quotients and Amiot’s conjecture |
| title_full_unstemmed | Calabi–Yau structures on Drinfeld quotients and Amiot’s conjecture |
| title_short | Calabi–Yau structures on Drinfeld quotients and Amiot’s conjecture |
| title_sort | calabi yau structures on drinfeld quotients and amiot s conjecture |
| topic | Calabi–Yau structure Verdier quotient Drinfeld quotient Amiot’s conjecture |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.541/ |
| work_keys_str_mv | AT kellerbernhard calabiyaustructuresondrinfeldquotientsandamiotsconjecture AT liujunyang calabiyaustructuresondrinfeldquotientsandamiotsconjecture |