
TL;DR
This paper proves that a Seiberg-Witten-type flow on higher-dimensional manifolds (dimension 5 or more) exists globally and smoothly over time, extending previous results to higher dimensions.
Contribution
It establishes the existence of a global smooth solution for the Seiberg-Witten flow in dimensions five and above, a significant extension of known results.
Findings
Global smooth solutions exist for the flow in dimensions ≥5.
The flow persists for all time without singularities.
Extension of Seiberg-Witten flow theory to higher dimensions.
Abstract
We show that for manifolds of dimension , the flow of a Seiberg-Witten-type functional admits a global smooth solution on .
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