Convergence of the Yang-Mills flow on ALE gravitational instantons

Fuente: arXiv
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Main Authors: Dayaprema, Anuk, Waldron, Alex
Format: Preprint
Published: 2026
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author Dayaprema, Anuk
Waldron, Alex
author_facet Dayaprema, Anuk
Waldron, Alex
contents We prove a sharp convergence theorem for the Yang-Mills flow on an $\mathrm{S}\mathrm{U}(r)$-bundle over a locally hyperKähler ALE 4-manifold. Our main result is a noncompact version of the "parabolic gap theorem" previously established by the authors.
format Preprint
id arxiv_https___arxiv_org_abs_2605_10814
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Convergence of the Yang-Mills flow on ALE gravitational instantons
Dayaprema, Anuk
Waldron, Alex
Differential Geometry
Analysis of PDEs
We prove a sharp convergence theorem for the Yang-Mills flow on an $\mathrm{S}\mathrm{U}(r)$-bundle over a locally hyperKähler ALE 4-manifold. Our main result is a noncompact version of the "parabolic gap theorem" previously established by the authors.
title Convergence of the Yang-Mills flow on ALE gravitational instantons
topic Differential Geometry
Analysis of PDEs
url https://arxiv.org/abs/2605.10814