Symplectic geometry of Higgs moduli and the Hilbert scheme of points over an elliptic curve
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917480123858944 |
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| author | Jia, Zelin |
| author_facet | Jia, Zelin |
| contents | We show that the isomorphism between the moduli space of certain parabolic Higgs bundles over an elliptic curve and the Hilbert scheme of n points of the cotangent bundle of the elliptic curve is a symplectomorphism with respect to their natural symplectic structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symplectic geometry of Higgs moduli and the Hilbert scheme of points over an elliptic curve Jia, Zelin Algebraic Geometry Mathematical Physics Symplectic Geometry 14H60, 53D30, 14J42 We show that the isomorphism between the moduli space of certain parabolic Higgs bundles over an elliptic curve and the Hilbert scheme of n points of the cotangent bundle of the elliptic curve is a symplectomorphism with respect to their natural symplectic structures. |
| title | Symplectic geometry of Higgs moduli and the Hilbert scheme of points over an elliptic curve |
| topic | Algebraic Geometry Mathematical Physics Symplectic Geometry 14H60, 53D30, 14J42 |
| url | https://arxiv.org/abs/2505.02334 |