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Domination results in n$n$‐Fuchsian fibers in the moduli space of Higgs bundles

Domination results in n$n$‐Fuchsian fibers in the moduli space of Higgs bundles

In this article, we show some domination results on the Hitchin fibration, mainly focusing on the n $n$ -Fuchsian fibers. More precisely, we show that the energy density of the associated harmonic map of an n $n$ -Fuchsian representation dominates the ones of all other representations in the same Hitchin …