Higgs bundles for the non-compact dual of the special orthogonal group

DOI10.1007/s10711-014-0026-8zbMath1314.14060arXiv1303.1058OpenAlexW3104326935MaRDI QIDQ2339879

Peter B. Gothen, Steven B. Bradlow, Oscar García-Prada

Publication date: 14 April 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1058

zbMATH Keywords

moduli spaceHiggs bundlessurface group representationsreal Lie groups

Mathematics Subject Classification ID

Moduli problems for topological structures (58D29) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Vector bundles on curves and their moduli (14H60)

Related Items

Higgs bundles for the non-compact dual of the unitary group, Maximal Higgs bundles for adjoint forms via Cayley correspondence, Birationality of moduli spaces of twisted \(\mathrm {U}(p,q)\)-Higgs bundles, Generalized theta functions, strange duality, and odd orthogonal bundles on curves, Higgs bundles and higher Teichmüller spaces, Higgs bundles for real groups and the Hitchin–Kostant–Rallis section

Cites Work

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• Higgs bundles for the non-compact dual of the unitary group
• Higgs bundles for the Lorentz group
• On weakly maximal representations of surface groups
• Rank two quadratic pairs and surface group representations
• Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces
• Geometric invariant theory and decorated principal bundles
• Surface group representations with maximal Toledo invariant
• The Gromov norm of the Kähler class of symmetric domains
• Higgs bundles and local systems
• Lie groups and Teichmüller space
• Moduli for decorated tuples of sheaves and representation spaces for quivers
• Surface group representations and \(U(p,q)\)-Higgs bundles.
• Stable principal bundles on a compact Riemann surface
• Representations of the fundamental group of a closed oriented surface in Sp(\(4,\mathbb R\))
• Nonabelianization of Higgs bundles
• On the existence of a connection with curvature zero
• The Gromov norm of the Kähler class and the Maslov index.
• DEFORMATIONS OF MAXIMAL REPRESENTATIONS IN Sp(4, R)
• The Self-Duality Equations on a Riemann Surface
• An Infinitesimal Study of the Moduli of Hitchin Pairs
• Relative Hitchin-Kobayashi Correspondences for Principal Pairs
• Cohomology of U(2,1) representation varieties of surface groups
• Topological invariants of Anosov representations
• Spectral Data for U(m,m)-Higgs Bundles
• Higgs Bundles and Characteristic Classes
• Higgs bundles and surface group representations in the real symplectic group
• Lie groups beyond an introduction
• Components of spaces of representations and stable triples.