Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912440551211008 |
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| author | Franchini, Sofia |
| author_facet | Franchini, Sofia |
| contents | We give a classification of torsion pairs, t-structures, and co-t-structures in the Paquette-Yildirim completion of the Igusa-Todorov discrete cluster category. We prove that the aisles of t-structures and co-t-structures are in bijection with non-crossing partitions enriched with some additional data. We also observe that recollements exist in the completion and we classify them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08735 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories Franchini, Sofia Representation Theory Category Theory 05E10, 18G80 We give a classification of torsion pairs, t-structures, and co-t-structures in the Paquette-Yildirim completion of the Igusa-Todorov discrete cluster category. We prove that the aisles of t-structures and co-t-structures are in bijection with non-crossing partitions enriched with some additional data. We also observe that recollements exist in the completion and we classify them. |
| title | Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories |
| topic | Representation Theory Category Theory 05E10, 18G80 |
| url | https://arxiv.org/abs/2403.08735 |