A compactness theorem for stable flat \(SL(2, \mathbb{C})\) connections on 3-folds

DOI10.1007/s10473-022-0320-8OpenAlexW4224287490WikidataQ113904576 ScholiaQ113904576MaRDI QIDQ2157878

Teng Huang

Publication date: 22 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03486

zbMATH Keywords

compactness theoremVafa-Witten equationsstable flat \(SL(2, \mathbb{C})\) connections

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Connections (general theory) (53C05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Cites Work

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• The Self-Duality Equations on a Riemann Surface
• Some boundedness properties of solutions to the Vafa–Witten equations on closed 4-manifolds
• A lower bound on the solutions of Kapustin-Witten equations

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