Corpus ID: 235458067

Compactness for $\Omega$-Yang-Mills connections

@inproceedings{Chen2021CompactnessF,
  title={Compactness for \$\Omega\$-Yang-Mills connections},
  author={Xuemiao Chen and R. Wentworth},
  year={2021}
}
On a Riemannian manifold of dimension n we extend the known analytic results on Yang-Mills connections to the class of connections called Ω-Yang-Mills connections, where Ω is a smooth, not necessarily closed, (n − 4)-form on M . Special cases include Ω-anti-selfdual connections and Hermitian-Yang-Mills connections over general complex manifolds. By a key observation, a weak compactness result is obtained for moduli space of smooth Ω-YangMills connections with uniformly L bounded curvature, and… Expand

References

SHOWING 1-10 OF 29 REFERENCES
Complex algebraic compactifications of the moduli space of Hermitian-Yang-Mills connections on a projective manifold
In this paper we study the relationship between three compactifications of the moduli space of Hermitian-Yang-Mills connections on a fixed Hermitian vector bundle over a projective algebraic manifoldExpand
Gauge theory and calibrated geometry, I
The geometry of submanifolds is intimately related to the theory of functions and vector bundles. It has been of fundamental importance to find out how those two objects interact in many geometricExpand
A singularity removal theorem for Yang-Mills fields in higher dimensions
The purpose of this paper is to investigate the small-energy behavior of weakly Yang-Mills fields in Rn for n > 4, and in particular to extend the singularity removal theorem of Uhlenbeck [7] toExpand
Compact moduli spaces for slope-semistable sheaves
We resolve pathological wall-crossing phenomena for moduli spaces of sheaves on higher-dimensional base manifolds. This is achieved by considering slope-semistability with respect to movable curvesExpand
The nonabelian Hodge correspondence for balanced hermitian metrics of Hodge-Riemann type
This paper extends the nonabelian Hodge correspondence for Kähler manifolds to a larger class of hermitian metrics on complex manifolds called balanced of Hodge-Riemann type. Essentially, it growsExpand
The Chern Classes and Kodaira Dimension of a Minimal Variety
This paper deals with a sort of inequality for the first and second Chern classes of normal projective varieties with numerically effective canonical classes (Theorem 1.1); to some extent it is aExpand
Gauge Theory in higher dimensions, II
The main aim of the paper is to develop the "Floer theory" associated to Calabi-Yau 3-folds, exending the analogy of Thomas' "holomorphic Casson invariant". The treatment in the body of the paper isExpand
Geometry of four-manifolds
1. Four-manifolds 2. Connections 3. The Fourier transform and ADHM construction 4. Yang-Mills moduli spaces 5. Topology and connections 6. Stable holomorphic bundles over Kahler surfaces 7. ExcisionExpand
Uhlenbeck compactness for Yang-Mills flow in higher dimensions
This paper proves a general Uhlenbeck compactness theorem for sequences of solutions of Yang-Mills flow on Riemannian manifolds of dimension $n \geq 4,$ including rectifiability of the singular set.
Removability of a codimension four singular set for solutions of a yang mills higgs equation with small energy
We develop a new method for proving regularity for small energy stationary solutions of coupled gauge field equations. Our results duplicate those of Tian--Tao [7] for the pure Yang Mills equations,Expand
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