Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves

Abstract

Let X be an irreducible smooth projective curve of genus g ≥ 2 over ℂ. Let MG, Higgsδbe a connected reductive affine algebraic group over ℂ. Let Higgs be the moduli space of semistable principal G-Higgs bundles on X of topological type δ∈π1(G). In this article,we compute the fundamental group and Picard group of

Keywords

• moduli space
• principal higgs bundle
• fundamental group and picard group
• 14d23
• 14d20
• 14h30
• 14c22