The $D_{\hslash}$-module mirror conjecture for flag varieties
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912564210827264 |
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| author | Chow, Chi Hong |
| author_facet | Chow, Chi Hong |
| contents | Rietsch constructed a candidate $T$-equivariant mirror LG model for any flag variety $G/P$. In this paper, we prove the following mirror symmetry prediction: the small $T\times\mathbb{G}_m$-equivariant quantum cohomology of $G/P$ equipped with quantum $\hslash$-connection is isomorphic as $D_{\hslash}$-modules to the Brieskorn lattice associated to the LG model equipped with Gauss-Manin $\hslash$-connection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15523 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The $D_{\hslash}$-module mirror conjecture for flag varieties Chow, Chi Hong Algebraic Geometry Mathematical Physics Representation Theory Rietsch constructed a candidate $T$-equivariant mirror LG model for any flag variety $G/P$. In this paper, we prove the following mirror symmetry prediction: the small $T\times\mathbb{G}_m$-equivariant quantum cohomology of $G/P$ equipped with quantum $\hslash$-connection is isomorphic as $D_{\hslash}$-modules to the Brieskorn lattice associated to the LG model equipped with Gauss-Manin $\hslash$-connection. |
| title | The $D_{\hslash}$-module mirror conjecture for flag varieties |
| topic | Algebraic Geometry Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2311.15523 |