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Irreducibility of moduli of semistable chains and applications to U(p,q)-Higgs bundles

Preprint

<p>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.</p>

Steven Bradlow

Oscar ia-Prada

Peter Gothen

J. Heinloth

Publication

Year of publication: 2017

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Preprint

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