Global Existence for the Seiberg-Witten Flow

Details Global Existence for the Seiberg-Witten Flow Global Existence for the Seiberg-Witten Flow

2009-09-10

arxiv.org/abs/0909.1855v6

Mathematics

Differential Geometry

Scientific paper

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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