Monopoles on the Bryant-Salamon \(G_2\)-manifolds

DOI10.1016/j.geomphys.2014.10.005zbMath1310.53022arXiv1310.7392OpenAlexW2049157339MaRDI QIDQ478873

Goncalo Oliveira

Publication date: 4 December 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7392

zbMATH Keywords

monopolesGauge theory\(G_2\) manifold

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Issues of holonomy in differential geometry (53C29)

Related Items (10)

Gauge theory on Aloff-Wallach spaces ⋮ Dimension of monopoles on asymptotically conic 3-manifolds: Figure 1. ⋮ \(G_{2}\)-monopoles with singularities (examples) ⋮ Deformation of singular connections I: \(G_2\)-instantons with point singularities ⋮ Deformation theory of asymptotically conical \(Spin(7)\)-instantons ⋮ $$\mathrm{G}_2$$-Instantons on Noncompact $$\mathrm{G}_2$$-Manifolds: Results and Open Problems ⋮ Gerbes on \(G_2\) manifolds ⋮ \(\operatorname{SU}(2)^2\)-invariant \(G_2\)-instantons ⋮ Deformations of nearly Kähler instantons ⋮ Calabi-Yau monopoles for the Stenzel metric

Cites Work

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• Removable singularities of coupled Yang-Mills fields in \(R^ 3\)
• Einstein metrics on \(S^ 3\), \(R^ 3\) and \(R^ 4\) bundles
• On the construction of some complete metrics with exceptional holonomy
• Cohomogeneity one manifolds of spin(7) and \(G_{2}\) holonomy
• Instantons on the exceptional holonomy manifolds of Bryant and Salamon
• Gauge Theory in higher dimensions, II
• On Invariant Connections over a Principal Fibre Bundle

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