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arXiv · 2503.01289

Very stable regular $G$-Higgs bundles

Miguel González
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Abstract

We give a classification of very stable $G$-Higgs bundles in the generically regular Higgs field case for $G$ an arbitrary connected semisimple complex group. This extends the classification for $G=\mathrm{GL}_n(\mathbb C)$ and fixed point type $(1,1,\dots,1)$ given by Hausel and Hitchin.

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Miguel González. 2025-03-03. Very stable regular $G$-Higgs bundles. https://arxiv.org/abs/2503.01289

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