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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2411.00207 |
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| _version_ | 1866917827989995520 |
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| author | Barbieri, Anna Qiu, Yu |
| author_facet | Barbieri, Anna Qiu, Yu |
| contents | We study a class of triangulated categories obtained as Verdier quotients of 3-Calabi-Yau categories combinatorially described by quivers with potential from (decorated) marked surfaces. We study their bounded t-structures and consider in particular the exchange graphs of hearts and silting objects, and show that the Koszul isomorphism between these graphs is preserved under Verdier quotient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00207 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Verdier quotients of Calabi-Yau categories from quivers with potential Barbieri, Anna Qiu, Yu Representation Theory We study a class of triangulated categories obtained as Verdier quotients of 3-Calabi-Yau categories combinatorially described by quivers with potential from (decorated) marked surfaces. We study their bounded t-structures and consider in particular the exchange graphs of hearts and silting objects, and show that the Koszul isomorphism between these graphs is preserved under Verdier quotient. |
| title | Verdier quotients of Calabi-Yau categories from quivers with potential |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2411.00207 |