Compactness of the moduli space of Yang-Mills connections in higher dimensions
type: Item
instance of: scholarly article
title: Compactness of the moduli space of Yang-Mills connections in higher dimensions
zbMATH Open document ID: 0647.53030
author: Hiraku Nakajima
published in: Journal of the Mathematical Society of Japan
publication date: 1988-01-01T00:00:00Z
review text: In this paper the author generalizes \textit{K. K. Uhlenbeck}'s [Commun. Math. Phys. 83, 31-42 (1982; Zbl 0499.58019)] compactness theorem for the moduli space of Yang-Mills connections to higher dimensions. Namely, let \(\{A_ i\}\) be a sequence of Yang-Mills connections with uniform \(L^ 2\)-bounds on curvatures on a bundle P over a compact Riemannian manifold M of dimension n. Then there exists a subsequence of \(\{A_ i\}\) which converges after gauge transformations outside a compact set S with finite (n-4)-dimensional Hausdorff measure.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 58D17
zbMATH DE Number: 4056473
zbMATH Keywords: compactness theorem
zbMATH Keywords: moduli space
zbMATH Keywords: Yang-Mills connections
zbMATH Keywords: gauge transformations
reviewed by: Haruhisa Nakajima
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04030383
OpenAlex ID: W2058429718
DOI: 10.2969/JMSJ/04030383
description: scientific article; zbMATH DE number 4056473