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

Geometric and Functional Analysis - Tập 25 - Trang 1799-1821 - 2015
Andriy Haydys1, Thomas Walpuski2
1Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany
2Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

Tóm tắt

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.

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