SEIBERG–WITTEN FLOW IN HIGHER DIMENSIONS

DOI10.1017/S1446788712000304zbMath1281.58018arXiv1003.1765OpenAlexW2963065660MaRDI QIDQ2840481

Lorenz Schabrun

Publication date: 18 July 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1765

zbMATH Keywords

Seiberg-Witten flow

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

Higher order Seiberg-Witten functionals and their associated gradient flows

Cites Work

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• Global existence for the Seiberg-Witten flow
• Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections
• On the evolution of harmonic maps in higher dimensions
• Connections with \(L^ p \)bounds on curvature
• Harmonic and quasi-harmonic spheres
• Gradient estimates and blow-up analysis for stationary harmonic maps
• Monotonicity formula and small action regularity for Yang-Mills flows in higher dimensions
• Gauge theory and calibrated geometry. I
• Seiberg-Witten-like Equations on 7-Manifolds

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