Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles

@article{Bradlow2018IrreducibilityOM,
  title={Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles},
  author={Steven B. Bradlow and Oscar Garc{\'i}a-Prada and Peter B. Gothen and Jochen Heinloth},
  journal={arXiv: Algebraic Geometry},
  year={2018},
  pages={455-470}
}
  • Steven B. Bradlow, Oscar García-Prada, +1 author Jochen Heinloth
  • Published 2018
  • Mathematics
  • arXiv: Algebraic Geometry
  • We give necessary and sufficient conditions for moduli spaces of semistable chains on a curve to be irreducible and non-empty. This gives information on the irreducible components of the nilpotent cone of GL_n-Higgs bundles and the irreducible components of moduli of systems of Hodge bundles on curves. As we do not impose coprimality restrictions, we can apply this to prove connectedness for moduli spaces of U(p,q)-Higgs bundles.