Vinberg pairs and Higgs bundles

DOI10.1090/CONM/803/16099MaRDI QIDQ6607621

Oscar García-Prada

Publication date: 18 September 2024

zbMATH Keywords

Higgs pairsToledo invariantcyclic Higgs bundlestheta groupsmoduli of stable G-Higgs bundlesVinberg representations

Mathematics Subject Classification ID

Moduli problems for topological structures (58D29) Applications of global analysis to structures on manifolds (57R57) Vector bundles on curves and their moduli (14H60)

Cites Work

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• Langlands duality for Hitchin systems
• Cyclic surfaces and Hitchin components in rank 2
• Stable bundles and integrable systems
• Invariant theory of \(\bigwedge^3(9)\) and genus-2 curves
• Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices
• On non-connected compact Lie groups
• Higgs bundles and higher Teichmüller spaces
• Involutions of reductive Lie algebras in positive characteristic
• Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces
• Geometric invariant theory and decorated principal bundles
• The fundamental lemma for Lie algebras
• Surface group representations with maximal Toledo invariant
• Electric-magnetic duality and the geometric Langlands program
• Katz's middle convolution algorithm
• Flat G-bundles with canonical metrics
• Spinors of 13-dimensional space
• Higgs bundles and local systems
• Lie groups and Teichmüller space
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Galois Cohomology
• Moduli for principal bundles over algebraic curves. II
• Hitchin-Kobayashi correspondence, quivers, and vortices
• Les groupes réels simples, finis et continus.
• The gerbe of Higgs bundles.
• On invariant theory of \(\theta\)-groups
• Surface group representations and \(U(p,q)\)-Higgs bundles.
• Stable principal bundles on a compact Riemann surface
• Gradings of positive rank on simple Lie algebras
• Geometric invariant theory. Over the real and complex numbers
• The \(y\)-genus of the moduli space of \(\mathrm{PGL}_n\)-Higgs bundles on a curve (for degree coprime to \(n\))
• On the motives of moduli of chains and Higgs bundles
• Cyclic Higgs bundles and the affine Toda equations
• Automorphisms of finite order of semisimple Lie algebras
• On cyclic Higgs bundles
• Vinberg's representations and arithmetic invariant theory
• KW-sections for Vinberg's \(\theta\)-groups of exceptional type
• Nonabelianization of Higgs bundles
• Homogeneous spaces defined by Lie group automorphisms. I
• An analogue of the Grothendieck-Springer resolution for symmetric spaces
• Abelianization of Higgs bundles for quasi-split real groups
• Higgs bundles for real groups and the Hitchin–Kostant–Rallis section
• On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• Spectral curves and the generalised theta divisor.
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Moduli of Abelian Varieties, Vinberg θ-Groups, and Free Resolutions
• AN INVITATION TO HIGHER TEICHMÜLLER THEORY
• Irreducibility of moduli of semistable Chains and applications to U(p,q)-Higgs bundles
• Involutions of rank 2 Higgs bundle moduli spaces
• Involutions and higher order automorphisms of Higgs bundle moduli spaces
• Alternating trilinear forms on a nine-dimensional space and degenerations of (3, 3)-polarized Abelian surfaces
• Arithmetic invariant theory
• Spectral Data for U(m,m)-Higgs Bundles
• Lie Group Representations on Polynomial Rings
• Higgs bundles, the Toledo invariant and the Cayley correspondence
• Orbits and Representations Associated with Symmetric Spaces
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections
• Lie groups beyond an introduction
• Arakelov–Milnor inequalities and maximal variations of Hodge structure

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