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arXiv · 2501.12741

Semi-flat metrics of the moduli spaces of Higgs bundles in the non-zero degree case

Takuro Mochizuki
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Abstract

We study horizontal deformations of a Higgs bundle whose spectral curve is smooth. It allows us to define a natural integrable connection of the Hitchin fibration on the locus where the spectral curves are smooth. Then, in the non-zero degree case, we introduce the semi-flat metric, and compare the asymptotic behaviour of the semi-flat metric and the Hitchin metric along the ray $(E,t\theta)$ $(t\to\infty)$.

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Takuro Mochizuki. 2025-01-22. Semi-flat metrics of the moduli spaces of Higgs bundles in the non-zero degree case. https://arxiv.org/abs/2501.12741

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