For nonzero-degree stable Higgs bundles with smooth spectral curve, the Hitchin metric and the new semi-flat metric agree up to an exponentially small error along the ray (E,tθ) as t tends to infinity.
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Semi-flat metrics of the moduli spaces of Higgs bundles in the non-zero degree case
For nonzero-degree stable Higgs bundles with smooth spectral curve, the Hitchin metric and the new semi-flat metric agree up to an exponentially small error along the ray (E,tθ) as t tends to infinity.