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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.20709 |
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| _version_ | 1866915520312246272 |
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| author | Lu, Suiqi Qiu, Yu Wu, Dongjian |
| author_facet | Lu, Suiqi Qiu, Yu Wu, Dongjian |
| contents | We prove that the principal component of the exchange graph of hearts of a graded skew-gentle algebra can be identified with the corresponding exchange graph of S-graphs, using the geometric models and the intersection formula in \cite{QZZ}. Using the similar argument in \cite{BS, BMQS, CHQ}, we extend this identification to an isomorphism between the spaces of stability conditions and of quadratic differentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20709 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quadratic Differentials as Stability Conditions of Graded Skew-gentle Algebras Lu, Suiqi Qiu, Yu Wu, Dongjian Representation Theory We prove that the principal component of the exchange graph of hearts of a graded skew-gentle algebra can be identified with the corresponding exchange graph of S-graphs, using the geometric models and the intersection formula in \cite{QZZ}. Using the similar argument in \cite{BS, BMQS, CHQ}, we extend this identification to an isomorphism between the spaces of stability conditions and of quadratic differentials. |
| title | Quadratic Differentials as Stability Conditions of Graded Skew-gentle Algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2310.20709 |