\(G_{2}\)-instantons over asymptotically cylindrical

DOI10.2140/gt.2015.19.61zbMath1312.53044arXiv1101.0880OpenAlexW2310365426WikidataQ126223307 ScholiaQ126223307MaRDI QIDQ2260551

Henrique N. Sá Earp

Publication date: 11 March 2015

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0880

zbMATH Keywords

asymptotic stabilitygauge theory\(G_2\)-instantons

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Issues of holonomy in differential geometry (53C29) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (17)

Stable Yang-Mills connections on special holonomy manifolds ⋮ Canonical orientations for moduli spaces of \(G_2\)-instantons with gauge group \(\mathrm{SU}(m)\) or \(\mathrm{U}(m)\) ⋮ The Yang-Mills flow for cylindrical end 4-manifolds ⋮ Current Progress on $$\mathrm{{G}}_2$$-Instantons over Twisted Connected Sums ⋮ The extended Bogomolny equations with generalized Nahm pole boundary conditions. II ⋮ Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations ⋮ Conjectures on counting associative 3-folds in 𝐺₂-manifolds ⋮ Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds ⋮ Marginal deformations of heterotic \(G_2\) sigma models ⋮ Gauge theory and \(\mathrm{G}_2\)-geometry on Calabi-Yau links ⋮ \(G_{2}\)-instantons over asymptotically cylindrical ⋮ Deformations of nearly Kähler instantons ⋮ On orientations for gauge-theoretic moduli spaces ⋮ Asymptotic behaviour of instantons on cylinder manifolds ⋮ Hermitian Yang-Mills metrics on Higgs bundles over asymptotically cylindrical Kähler manifolds ⋮ Supersymmetric protection and the swampland ⋮ \(\mathrm{G}_{2}\)-instantons over twisted connected

Cites Work

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• Riemannian manifolds with structure group \(G_ 2\)
• Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
• Infinite determinants, stable bundles and curvature
• Vector bundles on complex projective spaces
• Harmonic maps of manifolds with boundary
• Some properties of stable rank-2 vector bundles on \(\mathbb{P}_n\)
• The approximation of instantons
• Elliptic partial differential equations of second order
• On the construction of some complete metrics with exceptional holonomy
• Complex geometry. An introduction
• Yang-Mills fields on cylindrical manifolds and holomorphic bundles. II
• \(G_{2}\)-instantons over asymptotically cylindrical
• Stable bundles on 3-fold hypersurfaces
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• On Harnack's theorem for elliptic differential equations
• Characteristic Classes. (AM-76)
• Twisted connected sums and special Riemannian holonomy
• Harmonic Mappings of Riemannian Manifolds

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