On the compactness problem for a family of generalized Seiberg-Witten equations in dimension \(3\)

DOI10.1215/00127094-2021-0005zbMath1500.53030arXiv1904.03749OpenAlexW3209384144MaRDI QIDQ2073276

Thomas Walpuski, Bo-Yu Zhang

Publication date: 1 February 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03749

zbMATH Keywords

compactnessgauge theorygeometric analysisgeneralized Seiberg-Witten equations

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Applications of global analysis to structures on manifolds (57R57) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) General topology of 3-manifolds (57K30)

Related Items (3)

Yang–Mills theories on geometric spaces ⋮ The branched deformations of the special Lagrangian submanifolds ⋮ Pin(2)-equivariance property of the Rarita-Schwinger-Seiberg-Witten equations

Cites Work

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• Deformation theory of the blown-up Seiberg-Witten equation in dimension three
• A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three
• Flat G-bundles with canonical metrics
• Construction of instantons
• \(G_2\)-instantons, associative submanifolds and Fueter sections
• Monopoles and four-manifolds
• On counting associative submanifolds and Seiberg-Witten monopoles
• \(\mathrm{PSL}(2; \mathbb C)\) connections on 3-manifolds with \(L^2\) bounds on curvature
• Rectifiable sets, densities and tangent measures
• Gauge Theory in higher dimensions, II
• Twisted Harmonic Maps and the Self-Duality Equations
• G2 instantons and the Seiberg-Witten monopoles
• Dirac Operators in Gauge Theory

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