Relative Stability Conditions on Triangulated Categories
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917857716076544 |
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| author | Liu, Bowen Wu, Dongjian |
| author_facet | Liu, Bowen Wu, Dongjian |
| contents | We introduce the notion of relative stability conditions on triangulated categories with respect to left admissible subcategories, based on arXiv:math/0212237, and demonstrate the deformation of relative stability conditions via the deformation of gluing stability conditions in arXiv:0902.0323. The motivation for this concept stems from the discussions in arXiv:2004.04831 concerning the relationship between Bridgeland stability and the existence of the deformed Hermitian-Yang-Mills metrics on line bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01502 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relative Stability Conditions on Triangulated Categories Liu, Bowen Wu, Dongjian Algebraic Geometry Category Theory Differential Geometry We introduce the notion of relative stability conditions on triangulated categories with respect to left admissible subcategories, based on arXiv:math/0212237, and demonstrate the deformation of relative stability conditions via the deformation of gluing stability conditions in arXiv:0902.0323. The motivation for this concept stems from the discussions in arXiv:2004.04831 concerning the relationship between Bridgeland stability and the existence of the deformed Hermitian-Yang-Mills metrics on line bundles. |
| title | Relative Stability Conditions on Triangulated Categories |
| topic | Algebraic Geometry Category Theory Differential Geometry |
| url | https://arxiv.org/abs/2411.01502 |