Unfolding of equivariant F-bundles and application to the mirror symmetry of flag varieties
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913838744469504 |
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| author | Hinault, Thorgal Li, Changzheng YU, Tony Yue Zhang, Chi Zhang, Shaowu |
| author_facet | Hinault, Thorgal Li, Changzheng YU, Tony Yue Zhang, Chi Zhang, Shaowu |
| contents | We establish an unfolding theorem for equivariant F-bundles (a variant of Frobenius manifolds), generalizing Hertling-Manin's universal unfolding of meromorphic connections. As an application, we obtain the mirror symmetry theorem for the big quantum cohomology of flag varieties, from the recent works on the small quantum cohomology mirror symmetry, via the equivariant unfolding theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09950 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unfolding of equivariant F-bundles and application to the mirror symmetry of flag varieties Hinault, Thorgal Li, Changzheng YU, Tony Yue Zhang, Chi Zhang, Shaowu Algebraic Geometry Symplectic Geometry Primary 14D15, Secondary 14M15, 14N35, 34M56 We establish an unfolding theorem for equivariant F-bundles (a variant of Frobenius manifolds), generalizing Hertling-Manin's universal unfolding of meromorphic connections. As an application, we obtain the mirror symmetry theorem for the big quantum cohomology of flag varieties, from the recent works on the small quantum cohomology mirror symmetry, via the equivariant unfolding theorem. |
| title | Unfolding of equivariant F-bundles and application to the mirror symmetry of flag varieties |
| topic | Algebraic Geometry Symplectic Geometry Primary 14D15, Secondary 14M15, 14N35, 34M56 |
| url | https://arxiv.org/abs/2505.09950 |