Constructs a flat degeneration of the Higgs bundle moduli stack on curves with intrinsic log-symplectic form, flat Hitchin map with complete fibers, and Lagrangian nilpotent cone locus, extended over stable curves.
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For logarithmic G-Higgs bundles with nilpotent residues, B(Φ,Φ) defines a logarithmic quadratic one-form on pointed Teichmüller space and equals the variation of energy for tame nilpotent harmonic bundles under positive decay near punctures.
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Moduli stacks of Higgs bundles on stable curves
Constructs a flat degeneration of the Higgs bundle moduli stack on curves with intrinsic log-symplectic form, flat Hitchin map with complete fibers, and Lagrangian nilpotent cone locus, extended over stable curves.