Monodromy of rank 2 twisted Hitchin systems and real character varieties

DOI10.1090/tran/7144zbMath1397.14043arXiv1506.00372OpenAlexW2962835251MaRDI QIDQ4642517

David Baraglia, Laura P. Schaposnik

Publication date: 23 May 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00372

zbMATH Keywords

monodromymoduli spacesHitchin systemtwisted Chern class

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60)

Related Items (11)

A geometric approach to orthogonal Higgs bundles ⋮ Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kähler geometry ⋮ Monodromy of rank 2 parabolic Hitchin systems ⋮ Monodromy of the \(\mathrm{SL}(n)\) and \(\mathrm{GL}(n)\) Hitchin fibrations ⋮ Topological invariants of parabolic \(G\)-Higgs bundles ⋮ Cayley and Langlands type correspondences for orthogonal Higgs bundles ⋮ Branes through finite group actions ⋮ Singular geometry and Higgs bundles in string theory ⋮ Higgs bundles and exceptional isogenies ⋮ The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs 𝑉-bundles and components of parabolic 𝑆𝑝(2𝑛,ℝ)-Higgs moduli spaces ⋮ \(\mathrm{SO}(p,q)\)-Higgs bundles and higher Teichmüller components

Cites Work

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• Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)
• Higgs bundles and exceptional isogenies
• Stable bundles and integrable systems
• Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces
• Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials
• The symplectic nature of fundamental groups of surfaces
• The Gromov norm of the Kähler class of symmetric domains
• Topological components of spaces of representations
• Flat G-bundles with canonical metrics
• Higgs bundles and local systems
• The gerbe of Higgs bundles.
• The moduli of flat PGL\((2,{\mathbb{R}})\) connections on Riemann surfaces
• Conjugacy classes of n-tuples in Lie algebras and algebraic groups
• Topological T-duality for general circle bundles
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Components of \(\text{Hom}(\pi_ 1,PGL(2,\mathbb{R}))\)
• Moduli Space of Semistable Pairs on a Curve
• 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
• Relative Hitchin-Kobayashi Correspondences for Principal Pairs
• MONODROMY OF THE SL₂ HITCHIN FIBRATION
• Topological T-duality for torus bundles with monodromy
• Spectral Data for U(m,m)-Higgs Bundles
• Higgs Bundles and Characteristic Classes
• Higgs bundles and surface group representations in the real symplectic group
• Riemann surfaces and spin structures
• Components of spaces of representations and stable triples.

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