论文标题

$ {\ rm sl}的真实切片(r,\ mathbb {c})$ - opers

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

论文作者

Biswas, Indranil, Heller, Sebastian, Schaposnik, Laura P.

论文摘要

通过对Riemann Surface $ X $的反构型差异$σ$(一种真实结构)的作用,我们考虑了$ {\ rm sl}(r,\ r,\ mathbb {c})$ opers上的诱导动作 - opers并研究通过此类操作固定的真实切片。通过为$ {\ rm sl}空间的不同描述构建这种不及格(r,\ m m mathbb {c})$ - opers,我们能够通过riemann表面上的差速器对固定点基因座进行自然参数化,这反过来又使我们能够研究其几何特性。

Through the action of an anti-holomorphic involution $σ$ (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.

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