A singularity removal theorem for Yang-Mills fields in higher dimensions
From MaRDI portal
Publication:4813569
DOI10.1090/S0894-0347-04-00457-6zbMath1086.53043arXivmath/0209352OpenAlexW1626457863MaRDI QIDQ4813569
Publication date: 13 August 2004
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0209352
Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
Related Items (max. 100)
The analysis of inhomogeneous Yang–Mills connections on closed Riemannian manifold ⋮ Minimizers of higher order gauge invariant functionals ⋮ GRADIENT FLOWS OF HIGHER ORDER YANG–MILLS–HIGGS FUNCTIONALS ⋮ Cordes–Nirenberg's imbedding and restricting with application to an elliptic equation ⋮ A trace problem for associate Morrey potentials ⋮ Deformation of singular connections I: \(G_2\)-instantons with point singularities ⋮ \(G_{2}\)-instantons on generalised Kummer constructions ⋮ A trace law for the Hardy-Morrey-Sobolev space ⋮ Higher order Yang-Mills flow ⋮ Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases ⋮ Energy identity for stationary Yang Mills ⋮ The flow of gauge transformations on Riemannian surface with boundary ⋮ Sigma-model limit of Yang-Mills instantons in higher dimensions ⋮ Exploring the unknown: the work of Louis Nirenberg on partial differential equations ⋮ $$\mathrm{G}_2$$-Instantons on Noncompact $$\mathrm{G}_2$$-Manifolds: Results and Open Problems ⋮ A partial regularity result for a class of stationary Yang-Mills fields in high dimension. ⋮ FAMILIES OF HOLOMORPHIC BUNDLES ⋮ A formally Kähler structure on a knot space of a \(G_2\)-manifold ⋮ New characterizations of Morrey spaces and their preduals with applications to fractional Laplace equations ⋮ A regularity result for a class of degenerate Yang-Mills connections in critical dimensions ⋮ Yang-Mills instantons on cones and sine-cones over nearly Kähler manifolds ⋮ Partial regularity for biharmonic maps, revisited ⋮ The Variations of Yang–Mills Lagrangian ⋮ Limits of Yang-Mills \(\alpha\)-connections ⋮ Systematisation of Systems Solving Physics Boundary Value Problems ⋮ Anti-self-dual connections and their related flow on 4-manifolds ⋮ \(\operatorname{SU}(2)^2\)-invariant \(G_2\)-instantons ⋮ Yang-Mills instantons and dyons on homogeneous \(G_{2}\)-manifolds ⋮ A CR twistor space of a \(G_{2}\)-manifold ⋮ Manifolds with parallel differential forms and Kähler identities for \(G_{2}\)-manifolds ⋮ A construction of \(\mathrm{Spin}(7)\)-instantons ⋮ The resolution of the Yang-Mills plateau problem in super-critical dimensions ⋮ Yang-Mills flows on nearly Kähler manifolds and \(G_{2}\)-instantons ⋮ \(\text{Spin}(7)\)-instantons from evolution equations ⋮ Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces ⋮ Quantitative stratification of stationary connections ⋮ Deformations of nearly Kähler instantons ⋮ An optimal partial regularity result for minimizers of an intrinsically defined second-order functional ⋮ Complex algebraic compactifications of the moduli space of Hermitian Yang-Mills connections on a projective manifold ⋮ An 𝐿^{𝑝} regularity theory for harmonic maps ⋮ Regularity of weak solutions to higher order elliptic systems in critical dimensions ⋮ Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kähler manifolds ⋮ Compactness for \(\Omega\)-Yang-Mills connections
Cites Work
This page was built for publication: A singularity removal theorem for Yang-Mills fields in higher dimensions
