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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.19376 |
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| _version_ | 1866912975166636032 |
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| author | Amrutiya, Sanjay Das, Sandipan |
| author_facet | Amrutiya, Sanjay Das, Sandipan |
| contents | Let $X$ be a Riemann surface equipped with an anti-holomorphic involution $σ_X$. We show that this induces a natural anti-holomorphic involution on the space of parabolic $\mathrm{SL}(r,\mathbb{C})$-opers. The fixed-point locus of this involution is defined as real slice. We further study the induced involutions on different descriptions of parabolic $\mathrm{SL}(r,\mathbb{C})$-opers, in particular differential operators, and prove that these involutions coincide. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19376 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Real Slices of Parabolic $\mathrm{SL}(r,\mathbb{C})$-Opers Amrutiya, Sanjay Das, Sandipan Differential Geometry 14H60, 33C80, 53C07 Let $X$ be a Riemann surface equipped with an anti-holomorphic involution $σ_X$. We show that this induces a natural anti-holomorphic involution on the space of parabolic $\mathrm{SL}(r,\mathbb{C})$-opers. The fixed-point locus of this involution is defined as real slice. We further study the induced involutions on different descriptions of parabolic $\mathrm{SL}(r,\mathbb{C})$-opers, in particular differential operators, and prove that these involutions coincide. |
| title | Real Slices of Parabolic $\mathrm{SL}(r,\mathbb{C})$-Opers |
| topic | Differential Geometry 14H60, 33C80, 53C07 |
| url | https://arxiv.org/abs/2603.19376 |