Amrutiya, SanjaySanjayAmrutiyaDas, SandipanSandipanDas2026-04-012026-04-012026-03-012331-842210.48550/arXiv.2603.19376https://repository.iitgn.ac.in/handle/IITG2025/34955Let 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.en-USParabolic SL(r, C)-opersEquivariant SL(r, C)-opersJet bundleDifferential operatorAnti-holomorphic involutionReal sliceE-print