Global Existence for the Seiberg-Witten Flow
Differential Geometry
2015-03-13 v6
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 up to gauge to a critical point of the Seiberg-Witten functional.
Cite
@article{arxiv.0909.1855,
title = {Global Existence for the Seiberg-Witten Flow},
author = {Min-Chun Hong and Lorenz Schabrun},
journal= {arXiv preprint arXiv:0909.1855},
year = {2015}
}