\(G_{2}\)-instantons on generalised Kummer constructions
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Publication:364212
DOI10.2140/gt.2013.17.2345zbMath1278.53051arXiv1109.6609OpenAlexW3100496769MaRDI QIDQ364212
Publication date: 6 September 2013
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.6609
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Calibrations and calibrated geometries (53C38)
Related Items (29)
Gauge theory on Aloff-Wallach spaces ⋮ Infinitesimal moduli of G2 holonomy manifolds with instanton bundles ⋮ On gauge enhancement and singular limits in \(G_{2}\) compactifications of M-theory ⋮ Evidence for an algebra of \(G_2\) instantons ⋮ Canonical orientations for moduli spaces of \(G_2\)-instantons with gauge group \(\mathrm{SU}(m)\) or \(\mathrm{U}(m)\) ⋮ \(G_2\)-instantons on resolutions of \(G_2\)-orbifolds ⋮ Associative submanifolds in Joyce's generalised Kummer constructions ⋮ A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three ⋮ $$\mathrm{G}_2$$-Instantons on Noncompact $$\mathrm{G}_2$$-Manifolds: Results and Open Problems ⋮ Current Progress on $$\mathrm{{G}}_2$$-Instantons over Twisted Connected Sums ⋮ The three-dimensional Fueter equation and divergence-free frames ⋮ Yang-Mills flow on special-holonomy manifolds ⋮ Conjectures on counting associative 3-folds in 𝐺₂-manifolds ⋮ Instantons on the exceptional holonomy manifolds of Bryant and Salamon ⋮ A new construction of compact torsion-free \(G_2\)-manifolds by gluing families of Eguchi-Hanson spaces ⋮ Marginal deformations of heterotic \(G_2\) sigma models ⋮ \(\operatorname{SU}(2)^2\)-invariant \(G_2\)-instantons ⋮ Spin(7)-instantons, Cayley submanifolds and Fueter sections ⋮ Gauge theory and \(\mathrm{G}_2\)-geometry on Calabi-Yau links ⋮ \(\text{Spin}(7)\)-instantons from evolution equations ⋮ Deformations of nearly Kähler instantons ⋮ On orientations for gauge-theoretic moduli spaces ⋮ Asymptotic behaviour of instantons on cylinder manifolds ⋮ Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions ⋮ A gluing construction of collapsing Calabi-Yau metrics on \(K3\) fibred 3-folds ⋮ Supersymmetric protection and the swampland ⋮ Degenerations of \(\mathbf{C}^n\) and Calabi-Yau metrics ⋮ \(\mathrm{G}_{2}\)-instantons over twisted connected ⋮ Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections
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