$G_2$-instantons, associative submanifolds, and Fueter sections

Abstract

We give a sufficient condition for an associative submanifold in a G2-manifold to appear as the bubbling locus of a sequence of G2-instantons, related to the existence of a Fueter section of a bundle of ASD instanton moduli spaces over said submanifold.

v2: published version

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• Associative submanifolds in Joyce's generalised Kummer constructions
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