Principal \(\mathrm{SO}(2n, \mathbb{C} )\)-bundle fixed points over a compact Riemann surface

MaRDI QIDQ6568988

Álvaro Antón Sancho

Publication date: 8 July 2024

Published in: Journal of Mathematical Physics, Analysis, Geometry (Search for Journal in Brave)

zbMATH Keywords

automorphismorthogonal groupmoduli spaceRiemann surfaceprincipal bundle

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Cites Work

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• Moduli for principal bundles over algebraic curves. I
• Higgs bundles and local systems
• Semi-stability of reductive group schemes over curves
• Moduli for principal bundles over algebraic curves. II
• Automorphisms of order three of the moduli space of spin-Higgs bundles
• Stable principal bundles on a compact Riemann surface
• The automorphism group of the moduli space of semi stable vector bundles
• \(F_4\) and PSp\((8,\mathbb{C})\)-Higgs pairs understood as fixed points of the moduli space of \(E_6\)-Higgs bundles over a compact Riemann surface
• Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold
• The Self-Duality Equations on a Riemann Surface
• Automorphisms of the moduli space of principal $G$-bundles induced by outer automorphisms of $G$
• Orthogonal and spin bundles over hyperelliptic curves

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