Bubbling Phenomenon for Hermitian Yang–Mills Connections

DOI10.1093/IMRN/RNAA190zbMATH Open1471.58018arXiv1910.11732OpenAlexW3047654854MaRDI QIDQ5006267

Yang Li

Publication date: 13 August 2021

Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)

Abstract: We construct local examples of singular Hermitian Yang-Mills connections over $B_{1}subsetmathbb{C}^3$ with uniformly bounded $L^2$-energy, but the number of essential singular points can be arbitrarily large.

Full work available at URL: https://arxiv.org/abs/1910.11732

zbMATH Keywords

Yang-Mills functionals

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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