$G_2$-instantons over twisted connected sums: an example

Abstract

Using earlier work of Sá Earp and the author [SEW13] we construct an irreducible unobstructed $G_2$-instanton on an $\mathrm{SO}(3)$-bundle over a twisted connected sum recently discovered by Crowley-Nordström [CN14].

v2: published version

References in corpus (1)

• Construction of G_2-instantons via twisted connected sums

Cited by in corpus (14)

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• On orientations for gauge-theoretic moduli spaces
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• Gauge theory on Aloff-Wallach spaces
• Conjectures on counting associative 3-folds in $G_2$-manifolds
• Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations
• Deformations of ${\mathrm{G}}_2$-instantons on nearly ${\mathrm{G}}_2$ manifolds
• Current progress on $G_2$--instantons over twisted connected sums
• K3 surfaces with two involutions and low Picard number
• Atiyah classes and the essential obstructions in deforming a singular $G_2-$instanton
• Families of solutions of the heterotic G${}_2$ system
• $G_2$-instantons on resolutions of $G_2$-orbifolds
• New examples of $G_2$-instantons on ${\mathbb{R}}^4\times S^3$