3D mirror symmetry in positive characteristic
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915218893832192 |
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| author | Bai, Shaoyun Lee, Jae Hee |
| author_facet | Bai, Shaoyun Lee, Jae Hee |
| contents | Via the formulation of (quantum) Hikita conjecture with coefficients in a characteristic $p$ field, we explain an arithmetic aspect of the theory of 3D mirror symmetry. Namely, we propose that the action of Steenrod-type operations and Frobenius-constant quantizations intertwine under the (quantum) Hikita isomorphism for 3D mirror pairs, and verify this for the Springer resolutions and hypertoric varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 3D mirror symmetry in positive characteristic Bai, Shaoyun Lee, Jae Hee Representation Theory Symplectic Geometry Via the formulation of (quantum) Hikita conjecture with coefficients in a characteristic $p$ field, we explain an arithmetic aspect of the theory of 3D mirror symmetry. Namely, we propose that the action of Steenrod-type operations and Frobenius-constant quantizations intertwine under the (quantum) Hikita isomorphism for 3D mirror pairs, and verify this for the Springer resolutions and hypertoric varieties. |
| title | 3D mirror symmetry in positive characteristic |
| topic | Representation Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2503.23590 |