A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three

Abstract

We prove that a sequence of solutions of the Seiberg-Witten equation with multiple spinors in dimension three can degenerate only by converging (after rescaling) to a Fueter section of a bundle of moduli spaces of ASD instantons.

v4: This version corrects a mistake in Proposition A.1 pointed out to us by Aleksander Doan

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