Semi-stable Higgs sheaves and Bogomolov type inequality
From MaRDI portal
Publication:2403777
DOI10.1007/s00526-017-1174-0zbMath1421.53031arXiv1601.00729OpenAlexW2963798136MaRDI QIDQ2403777
Chuanjing Zhang, Xi Zhang, Jiayu Li
Publication date: 12 September 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.00729
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
Higgs bundles over foliation manifolds, Generalized Donaldson functionals and related nonlinear partial differential equations, A note on Bogomolov-type inequality for semi-stable parabolic Higgs bundles, Hermitian-Einstein metrics for Higgs bundles over complete Hermitian manifolds, Semi-stable holomorphic vector bundles over generalized Kähler manifolds, Semi-stability for bi-holomorphic pairs over compact bi-Hermitian Gauduchon manifolds, Flat Higgs bundles over non-compact affine Gauduchon manifolds, A Liouville theorem on complete non-Kähler manifolds, The limit of the Hermitian-Yang-Mills flow on reflexive sheaves, The Hitchin-Kobayashi correspondence for holomorphic pairs over non-Kähler manifolds, A note on curvature estimate of the Hermitian-Yang-Mills flow, Canonical metrics on holomorphic bundles over compact bi-Hermitian manifolds, Hermitian Yang-Mills metrics on Higgs bundles over asymptotically cylindrical Kähler manifolds, Semi-stability for holomorphic pairs on compact Gauduchon manifolds, Higgs bundles over non-compact Gauduchon manifolds
Cites Work
- Existence of approximate Hermitian-Einstein structures on semi-stable bundles
- Asymptotics of the Yang-Mills flow for holomorphic vector bundles over Kähler manifolds: the canonical structure of the limit
- The gradient flow of Higgs pairs
- Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
- Kobayashi-Hitchin correspondence for tame harmonic bundles. II.
- Infinite determinants, stable bundles and curvature
- Analytic cycles on complex manifolds
- Heat kernel estimates and lower bound of eigenvalues
- Higgs bundles and local systems
- Hermitian-Einstein metrics on parabolic stable bundles
- Harder-Narasimhan filtration for complex bundles or torsion free sheaves.
- Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles. I: Generalities and the one-dimensional case
- A new proof of a theorem of Narasimhan and Seshadri
- Stable triples, equivariant bundles and dimensional reduction
- Stability of complex vector bundles
- Bogomolov's inequality for Higgs sheaves in positive characteristic
- Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles
- Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles. II: Higgs sheaves and admissible structures
- Extension of locally free analytic sheaves
- Stable and unitary vector bundles on a compact Riemann surface
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Vortices in holomorphic line bundles over closed Kähler manifolds
- DIMENSIONAL REDUCTION, ${\rm SL} (2, {\mathbb C})$-EQUIVARIANT BUNDLES AND STABLE HOLOMORPHIC CHAINS
- Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
- YANG–MILLS EQUATION FOR STABLE HIGGS SHEAVES
- The Self-Duality Equations on a Riemann Surface
- Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
- HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
- Flattening Theorem in Complex-Analytic Geometry
- DIMENSIONAL REDUCTION OF STABLE BUNDLES, VORTICES AND STABLE PAIRS
- Stable pairs on curves and surfaces
- A Hitchin-Kobayashi correspondence for Kähler fibrations
- The Limit of the Yang–Mills–Higgs Flow on Higgs Bundles
- 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
- Prolongement de faisceaux analytiques cohérents
- Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
