Symplectic higher Auslander correspondence for type A
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917294190362624 |
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| author | Di Dedda, Ilaria |
| author_facet | Di Dedda, Ilaria |
| contents | We prove that the Fukaya-Seidel categories of a certain family of singularities on $\mathbb{C}^d$ are equivalent to the perfect derived categories of higher Auslander algebras of Dynkin type A. We relate these to the Fukaya-Seidel categories of Brieskorn-Pham singularities and to the partially wrapped Fukaya categories considered by Dyckerhoff-Jasso-Lekili. We provide a symplectic interpretation to higher Auslander correspondence of type A in terms of Fukaya-Seidel categories of Lefschetz fibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16859 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symplectic higher Auslander correspondence for type A Di Dedda, Ilaria Symplectic Geometry Representation Theory 53D37, 16G70 We prove that the Fukaya-Seidel categories of a certain family of singularities on $\mathbb{C}^d$ are equivalent to the perfect derived categories of higher Auslander algebras of Dynkin type A. We relate these to the Fukaya-Seidel categories of Brieskorn-Pham singularities and to the partially wrapped Fukaya categories considered by Dyckerhoff-Jasso-Lekili. We provide a symplectic interpretation to higher Auslander correspondence of type A in terms of Fukaya-Seidel categories of Lefschetz fibrations. |
| title | Symplectic higher Auslander correspondence for type A |
| topic | Symplectic Geometry Representation Theory 53D37, 16G70 |
| url | https://arxiv.org/abs/2311.16859 |