Bubbling Phenomenon for Hermitian Yang–Mills Connections-Reference-Cited by-同舟云学术

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Bubbling Phenomenon for Hermitian Yang–Mills Connections

Published:2020-07-29 Issue:6 Volume:2021 Page:4657-4678
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Li Yang¹

Affiliation:

1. School of Mathematics, Institute for Advanced Study, Princeton NJ08540, USA

Abstract

Abstract We construct local examples of singular Hermitian Yang–Mills connections over $B_1\subset \mathbb{C}^3$ with uniformly bounded $L^2$-energy, but the number of essential singular points can be arbitrarily large.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/6/4657/36604831/rnaa190.pdf

Reference17 articles.

1. Stable Sheaves and Einstein-Hermitian metrics;Bando,1994

2. Analytic tangent cones of admissible Hermitian-Yang–Mills connections;Chen

3. Boundary value problems for Yang–Mills fields;Donaldson;J. Geom. Phys.,1992

4. The geometry of four-manifolds;Donaldson,1990

5. Gauge theory in higher dimensions;Donaldson,2011

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