Bubbling phenomenon for Hermitian Yang-Mills connections

2019/10/25 by Yang Li, Li, Yang
Mathematics · #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1910.11732

openalex publication_date 2019/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct local examples of singular Hermitian Yang-Mills connections over B₁⊂ ℂ³ with uniformly bounded L²-energy, but the number of essential singular points can be arbitrarily large.

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