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arXiv · 2609.16655

Decay estimates for Yang-Mills connections and Yang-Mills-Higgs pairs in higher dimensions

Matheus Vieira
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Abstract

We obtain decay estimates at infinity for Yang-Mills connections and Yang-Mills-Higgs pairs on higher-dimensional manifolds. The main tool is an abstract decay theorem for manifolds with suitable positive harmonic functions. Combining this theorem with refined Kato inequalities, we prove that a natural quadratic decay assumption implies an improved decay rate on certain asymptotically conical and product manifolds.

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Matheus Vieira. 2026-09-15. Decay estimates for Yang-Mills connections and Yang-Mills-Higgs pairs in higher dimensions. https://arxiv.org/abs/2609.16655

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