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arxiv: 0909.1855 · v6 · pith:NE2EZ4XFnew · submitted 2009-09-10 · 🧮 math.DG

Global Existence for the Seiberg-Witten Flow

classification 🧮 math.DG
keywords flowseiberg-wittenexistencefunctionalglobalcompactconvergescritical
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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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