On Harder-Narasimhan reductions for Higgs principal bundles

DOI10.1007/BF02829622zbMath1110.14035arXivmath/0602048MaRDI QIDQ2483771

Yanyan Li

Publication date: 1 August 2005

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602048

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (7)

Lectures on Higgs moduli and abelianisation ⋮ Meromorphic Higgs bundles and related geometries ⋮ Morse theory for the space of Higgs \(G\)-bundles ⋮ Commuting elements in reductive groups and Higgs bundles on abelian varieties ⋮ Restriction theorems for Higgs principal bundles ⋮ Einstein-Hermitian connection on twisted Higgs bundles ⋮ Higgs bundles and fundamental group schemes

Cites Work

• Moduli of vector bundles on curves with parabolic structures
• Higgs bundles and local systems
• On the cohomology groups of moduli spaces of vector bundles on curves
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Semi-stability of reductive group schemes over curves
• 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
• The Yang-Mills equations over Riemann surfaces
• Harder–Narasimhan reduction of a principal bundle
• Principal bundles over projective manifolds with parabolic structure over a divisor
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