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arXiv · 2605.10814

Convergence of the Yang-Mills flow on ALE gravitational instantons

Anuk Dayaprema·Alex Waldron
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Abstract

We prove a sharp convergence theorem for the Yang-Mills flow on an $\mathrm{S}\mathrm{U}(r)$-bundle over a locally hyperK\"ahler ALE 4-manifold. Our main result is a noncompact version of the "parabolic gap theorem" previously established by the authors.

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Anuk Dayaprema, Alex Waldron. 2026-05-11. Convergence of the Yang-Mills flow on ALE gravitational instantons. https://arxiv.org/abs/2605.10814

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