Geodesic
Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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Through the action of an anti-holomorphic involution $\sigma$ (a real structure) on a Riemann surface $X$, we consider the induced actions on ${\rm SL}(r,\mathbb{C})$-opers and study the real slices fixed by such actions. By constructing this involution for different descriptions of the space of ${\rm SL}(r,\mathbb{C})$-opers, we are able to give a natural parametrization of the fixed point locus via differentials on the Riemann surface, which in turn allows us to study their geometric properties.
Keywords: opers, real structure, differential operator, anti-holomorphic involution, real slice. 
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     author = {Indranil Biswas and Sebastian Heller and Laura P. Schaposnik},
     title = {Real {Slices} of ${\rm SL}(r,\mathbb{C})${-Opers}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a66/}
}
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Indranil Biswas; Sebastian Heller; Laura P. Schaposnik. Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a66/

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