Involutions of the moduli spaces of $G$-Higgs bundles over elliptic   curves
  We present a systematic study of involutions on the moduli space of $G$-Higgs bundles over an elliptic curve $X$, where $G$ is complex reductive affine algebraic group. The fixed point loci in the moduli space of $G$-Higgs bundles on $X$, and in the moduli space of representations of the fundamental group of $X$ into $G$, are described. This leads to an explicit description of the moduli spaces of pseudo-real $G$-Higgs bundles over $X$. 
Indranil Biswas, Luis Angel Calvo, Emilio Franco and Oscar   Garc\'ia-Prada
math.AG