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arXiv · 0909.1855

Global Existence for the Seiberg-Witten Flow

Min-Chun Hong·Lorenz Schabrun
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Abstract

We introduce the gradient flow of the Seiberg-Witten functional on a compact, orientable Riemannian 4-manifold and show the global existence of a unique smooth solution to the flow. The flow converges uniquely in $C^\infty$ up to gauge to a critical point of the Seiberg-Witten functional.

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Min-Chun Hong, Lorenz Schabrun. 2009-09-10. Global Existence for the Seiberg-Witten Flow. https://arxiv.org/abs/0909.1855

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