$G_2$-instantons, associative submanifolds, and Fueter sections
Thomas Walpuski
TL;DR
This paper establishes a condition under which associative submanifolds in G2-manifolds serve as bubbling loci for G2-instantons, linking geometric analysis with moduli space theory.
Contribution
It introduces a new sufficient condition connecting associative submanifolds, G2-instantons, and Fueter sections of ASD instanton moduli spaces.
Findings
Identifies a geometric criterion for bubbling of G2-instantons
Connects associative submanifolds with Fueter sections
Provides insights into the structure of G2-instanton moduli spaces
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.
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