MONODROMY OF THE SL2 HITCHIN FIBRATION

DOI10.1142/S0129167X13500134zbMath1328.14020arXiv1111.2550MaRDI QIDQ4923916

Laura P. Schaposnik

Publication date: 27 May 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2550

zbMATH Keywords

real formsrepresentation theoryHiggs bundlesHitchin fibration

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Representations of finite groups of Lie type (20C33) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Topological properties in algebraic geometry (14F45)

Related Items (11)

Higgs Bundles and Characteristic Classes ⋮ A geometric approach to orthogonal Higgs bundles ⋮ Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kähler geometry ⋮ Higgs bundles and \((A,B,A)\)-branes ⋮ Monodromy of the \(\mathrm{SL}(n)\) and \(\mathrm{GL}(n)\) Hitchin fibrations ⋮ Topological invariants of parabolic \(G\)-Higgs bundles ⋮ Monodromy of rank 2 twisted Hitchin systems and real character varieties ⋮ Branes through finite group actions ⋮ Singular geometry and Higgs bundles in string theory ⋮ Higgs bundles and exceptional isogenies ⋮ Hyperbolic band theory through Higgs bundles

Cites Work

• Unnamed Item
• Stable bundles and integrable systems
• Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials
• Topological components of spaces of representations
• Higgs bundles and local systems
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• LANGLANDS DUALITY AND G2 SPECTRAL CURVES

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