Approximate Hermitian-Einstein connections on principal bundles over a compact Riemann surface

DOI10.1007/s10455-013-9365-1zbMath1280.53026OpenAlexW2067689412MaRDI QIDQ376339

Matthias Stemmler, Indranil Biswas, Adam Jacob, Steven B. Bradlow

Publication date: 4 November 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-013-9365-1

zbMATH Keywords

automorphismHermitian-Einstein connectionsprincipal bundlesparabolic subgroupAtiyah bundle

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Holomorphic bundles and generalizations (32L05)

Related Items (6)

Approximate Hitchin–Kobayashi correspondence for Higgs G-bundles ⋮ Semi-stability for bi-holomorphic pairs over compact bi-Hermitian Gauduchon manifolds ⋮ Automorphisms and connections on Higgs bundles over compact Kähler manifolds ⋮ Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds ⋮ The Hitchin-Kobayashi correspondence for holomorphic pairs over non-Kähler manifolds ⋮ Semi-stability for holomorphic pairs on compact Gauduchon manifolds

Cites Work

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• Moduli for principal bundles over algebraic curves. I
• Stable principal bundles on a compact Riemann surface
• Harder-Narasimhan reduction for principal bundles over a compact Kähler manifold
• Einstein-Hermitian connections on polystable principal bundles over a compact Kahler manifold
• Complex Analytic Connections in Fibre Bundles
• Geometric Invariant Theory
• Flat holomorphic connections on principal bundles over a projective manifold
• HERMITIAN-EINSTEIN INEQUALITIES AND HARDER-NARASIMHAN FILTRATIONS

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