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arXiv · 2603.19376

Real Slices of Parabolic $\mathrm{SL}(r,\mathbb{C})$-Opers

Sanjay Amrutiya·Sandipan Das
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Abstract

Let $X$ be a Riemann surface equipped with an anti-holomorphic involution $\sigma_X$. 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.

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Sanjay Amrutiya, Sandipan Das. 2026-03-19. Real Slices of Parabolic $\mathrm{SL}(r,\mathbb{C})$-Opers. https://arxiv.org/abs/2603.19376

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