We study the Hitchin map for G_ℝ-Higgs bundles on a smooth curve, where G_ℝ is a quasi-split real form of a complex reductive algebraic group G. By looking at the moduli stack of regular G_ℝ-Higgs bundles, we prove that it induces a banded gerbe structure on a slightly larger stack, whose band is given by sheaves of tori. This characterization yields a cocyclic description of the fibres of the corresponding Hitchin map by means of cameral data. According to this, fibres of the Hitchin map are categories of principal torus bundles on the cameral cover. The corresponding points inside the stack of G-Higgs bundles are contained in the substack of points fixed by an involution induced by the Cartan involution of G_ℝ. We determine this substack of fixed points and prove that stable points are in correspondence with stable G_ℝ-Higgs bundles.

我们在平滑曲线上研究G _ℝ -Higgs 丛的希钦映射，其中G _ℝ是复归约代数群G的准分裂实型。通过查看规则G _ℝ -Higgs 丛的模堆，我们证明了它在稍大的堆上诱导了带状 gerbe 结构，其带是由环圈给出的。这种表征通过相机数据产生了相应希钦图的纤维的共循环描述。据此，希钦图的纤维是相机盖上主要环面丛的类别。G的栈内对应点-Higgs 丛包含在由G _ℝ的 Cartan 对合引起的对合固定的点的子堆栈中。我们确定不动点的这个子堆栈并证明稳定点与稳定的G _ℝ -Higgs 丛一致。