On the existence of hermitian-yang-mills connections in stable vector bundles

1986/01/01 by Karen Uhlenbeck, K. Uhlenbeck, S. T. Yau +1 · 21 citations
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Citation #Computer science #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Hermitian matrix #Library science #Mathematics #Pure mathematics #Vector bundle

paper · doi:10.1002/cpa.3160390714

crossref issued 1986/01/01 · crossref published 1986/01/01 · crossref published-print 1986/01/01 · openalex publication_date 1986/01/01 · crossref created 2007/04/14 · crossref deposited 2021/07/02 · openalex created_date 2025/10/10 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/01

Citations

• An application of gauge theory to four-dimensional topology
• Construction of instantons
• On the Chern numbers of surfaces of general type
• On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I

Cited by

• STABILITY AND HERMITIAN–EINSTEIN METRICS FOR VECTOR BUNDLES ON FRAMED MANIFOLDS
• Instanton moduli in string theory
• Numerical Hermitian Yang-Mills connections and Kähler cone substructure
• Polynomial invariants for smooth four-manifolds
• Infinite determinants, stable bundles and curvature
• Kobayashi–Hitchin correspondence for tame harmonic bundles II
• Affine representations of the fundamental group (with an appendix on parabolic representations)
• Noncommutative multi-instantons on R2n×S2
• The DT-Instanton Equation on Almost Hermitian 6-Manifolds
• The gauge fixing theorem with applications to the Yang-Mills flow over Riemannian manifolds
• 6D effective action of heterotic compactification on K3 with nontrivial gauge bundles
• Intersection cohomology of moduli spaces of sheaves on surfaces
• D-Branes, Pi-Stability and Theta-Stability
• DWSB in heterotic flux compactifications
• Hyperholomorphic connections on coherent sheaves and stability
• Construction of constant scalar curvature Kähler cone metrics
• A master equation for multi-dimensional non-linear field theories
• Geometric unification of Higgs bundle vacua
• L² vanishing theorem on some Kähler manifolds
• Shing-Tung Yau [wikipedia]
• Simon Donaldson [wikipedia]