Convergence of the Yang-Mills flow on ALE gravitational instantons

Anuk Dayaprema; Alex Waldron

Convergence of the Yang-Mills flow on ALE gravitational instantons

Differential Geometry 2026-05-12 v1 Analysis of PDEs

Authors: Anuk Dayaprema , Alex Waldron

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.

Keywords

Yang-Mills flow ALE gravitational instantons convergence theorem parabolic gap theorem

Cite

@article{arxiv.2605.10814,
  title  = {Convergence of the Yang-Mills flow on ALE gravitational instantons},
  author = {Anuk Dayaprema and Alex Waldron},
  journal= {arXiv preprint arXiv:2605.10814},
  year   = {2026}
}

Comments

24 pages

Related papers

View all related →