A note on curvature estimate of the Hermitian-Yang-Mills flow
From MaRDI portal
Publication:1757189
DOI10.1007/s40304-018-0135-zzbMath1428.53031arXiv1611.04272OpenAlexW2564424803MaRDI QIDQ1757189
Jiayu Li, Chuanjing Zhang, Xi Zhang
Publication date: 2 January 2019
Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.04272
curvature estimateHarder-Narasimhan-Seshadri filtrationholomorphic structureHermitian-Yang-Mills flow
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 (4)
GRADIENT FLOWS OF HIGHER ORDER YANG–MILLS–HIGGS FUNCTIONALS ⋮ Hermitian-Einstein metrics for Higgs bundles over complete Hermitian manifolds ⋮ Canonical metrics on holomorphic filtrations over compact Hermitian manifolds ⋮ Canonical metrics on holomorphic bundles over compact bi-Hermitian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections
- Morse theory for the space of Higgs bundles
- Kobayashi-Hitchin correspondence for tame harmonic bundles. II.
- Heat kernel estimates and lower bound of eigenvalues
- Connections with \(L^ p \)bounds on curvature
- The topology of the space of stable bundles on a compact Riemann surface
- Hermitian-Einstein metrics on parabolic stable bundles
- The limit of the Hermitian-Yang-Mills flow on reflexive sheaves
- The heat equation and harmonic maps of complete manifolds
- A new proof of a theorem of Narasimhan and Seshadri
- Stable triples, equivariant bundles and dimensional reduction
- Stability of complex vector bundles
- Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles
- Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kähler manifolds
- On the blow-up set of the Yang-Mills flow on Kähler surfaces
- Semi-stable Higgs sheaves and Bogomolov type inequality
- 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
- The Yang-Mills flow and the Atiyah-Bott formula on compact Kähler manifolds
- Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
- The Self-Duality Equations on a Riemann Surface
- Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
- On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
- 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
- The Yang-Mills equations over Riemann surfaces
- Convergence properties of the Yang-Mills flow on Kähler surfaces
- Sur Les Fibrés Paraboliques Sur Une Surface Complexe
- Remarks on the Yang-Mills flow on a compact Kahler manifold
- Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds
This page was built for publication: A note on curvature estimate of the Hermitian-Yang-Mills flow