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

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.

Bibliographic Details
Main Authors: Haydys, Andriy (Author), Walpuski, Thomas (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer International Publishing, 2016-06-17T21:41:32Z.
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Description
Summary: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.
European Research Council (Grant 247331)