Higgs bundles over foliation manifolds
DOI10.1007/s11425-019-1736-4zbMath1466.53032OpenAlexW3109691465MaRDI QIDQ829456
Publication date: 6 May 2021
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-019-1736-4
Higgs bundle(approximate) transverse Hermitian-Einsteinfoliation manifoldtransversal Bogomolov inequality
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Foliations (differential geometric aspects) (53C12) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
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Cites Work
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- Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4
- Regularity of the geodesic equation in the space of Sasakian metrics
- Existence of approximate Hermitian-Einstein structures on semi-stable bundles
- Vector bundles on Sasakian manifolds
- Energy properness and Sasakian-Einstein metrics
- Stability of Einstein-Hermitian vector bundles
- A characterization of ample vector bundles on a curve
- Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals
- Canonical Sasakian metrics
- Obstructions to the existence of Sasaki-Einstein metrics
- La 1-forme de torsion d'une variété hermitienne compacte
- Infinite determinants, stable bundles and curvature
- Flat G-bundles with canonical metrics
- Higgs bundles and local systems
- Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
- Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts
- Hermitian-Einstein metrics on parabolic stable bundles
- New Einstein metrics in dimension five.
- Semistable Higgs bundles over compact Gauduchon manifolds
- K-semistability for irregular Sasakian manifolds
- Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles. I: Generalities and the one-dimensional case
- The large-\(N\) limit of superconformal field theories and supergravity
- Hermitian-Einstein connections and stable vector bundles over compact complex surfaces
- Stability of complex vector bundles
- Sasaki-Einstein metrics and K-stability
- Bogomolov's inequality for Higgs sheaves in positive characteristic
- Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles
- Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds
- Transverse fully nonlinear equations on Sasakian manifolds and applications
- Sasaki-Einstein metrics on \(S^2\times S^3\)
- Semi-stable Higgs sheaves and Bogomolov type inequality
- A new infinite class of Sasaki-Einstein manifolds
- Stable and unitary vector bundles on a compact Riemann surface
- Frankel conjecture and Sasaki geometry
- Vortices in holomorphic line bundles over closed Kähler manifolds
- Sasaki-Einstein Manifolds
- Some Invariants in Sasakian Geometry
- Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
- The Self-Duality Equations on a Riemann Surface
- Twisted Harmonic Maps and the Self-Duality Equations
- Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
- A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
- HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
- ON SASAKIAN–EINSTEIN GEOMETRY
- Higgs Bundles on Sasakian Manifolds
- On the existence of hermitian-yang-mills connections in stable vector bundles
- Sur Les Fibrés Paraboliques Sur Une Surface Complexe
- Metrics on semistable and numerically effective Higgs bundles
- The universal Kobayashi-Hitchin correspondence on Hermitian manifolds
- Stable Vector Bundles on Algebraic Surfaces
- Curvature and stability of vector bundles
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