YANG–MILLS EQUATION FOR STABLE HIGGS SHEAVES
From MaRDI portal
Publication:3636300
DOI10.1142/S0129167X09005406zbMath1169.53017arXiv0803.4435MaRDI QIDQ3636300
Indranil Biswas, Georg Schumacher
Publication date: 30 June 2009
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.4435
Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Holomorphic bundles and generalizations (32L05)
Related Items
Hermitian-Einstein metrics for Higgs bundles over complete Hermitian manifolds, On Gieseker stability for Higgs sheaves, Semi-stable Higgs sheaves and Bogomolov type inequality, Morse theory for the space of Higgs \(G\)-bundles, Flat Higgs bundles over non-compact affine Gauduchon manifolds, Automorphisms and connections on Higgs bundles over compact Kähler manifolds, Canonical metrics on holomorphic filtrations over compact Hermitian manifolds, Bogomolov restriction theorem for Higgs bundles, Tensor product theorem for Hitchin pairs -- an algebraic approach, Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles. II: Higgs sheaves and admissible structures, Commuting elements in reductive groups and Higgs bundles on abelian varieties, Pseudo-real principal Higgs bundles on compact Kähler manifolds, Anti-holomorphic involutions of the~moduli~spaces of Higgs bundles, \(T\)-stability for Higgs sheaves over compact complex manifolds, On vanishing theorems for Higgs bundles, Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles, Approximate Hermitian-Yang-Mills structures and semistability for Higgs bundles. I: Generalities and the one-dimensional case, Einstein-Hermitian connection on twisted Higgs bundles, Canonical metrics on holomorphic bundles over compact bi-Hermitian manifolds, On the stable principal Higgs sheaves, Hermitian Yang-Mills metrics on Higgs bundles over asymptotically cylindrical Kähler manifolds, Automorphism group of principal bundles, Levi reduction and invariant connections, Semistability and finite maps, Yang–Mills connections on compact complex tori, Higgs bundles over non-compact Gauduchon manifolds
Cites Work
- Complex manifolds and deformation of complex structures. Transl. from the Japanese by Kazuo Akao
- Moduli space of principal sheaves over projective varieties
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- Einstein-Hermitian connections on polystable principal bundles over a compact Kahler manifold
- Flattening Theorem in Complex-Analytic Geometry