Resumen de The moduli space of principal Spin bundles

Álvaro Antón Sancho

• We study the geometry of the moduli space of principal Spin bundles through the study of the subvarieties of fixed points of automorphisms of finite order coming from outer automorphisms of the structure group. We describe the nonstable and the singular locus of the moduli space, prove that nonstable bundles are singular points, and identify the fixed points, in the case of M(Spin(8,C)), in the stable or strictly polystable locus of the moduli space.