A geometric approach to orthogonal Higgs bundles

DOI10.1007/s40879-017-0206-9zbMath1405.14035arXiv1608.00300OpenAlexW3100004563MaRDI QIDQ1630212

Laura P. Schaposnik

Publication date: 7 December 2018

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

Full work available at URL: https://arxiv.org/abs/1608.00300

zbMATH Keywords

Higgs bundlesHitchin fibration\((B,A,A)\)-branesorthogonal Higgs bundles

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relationships between algebraic curves and integrable systems (14H70) 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) Topology of real algebraic varieties (14P25)

Related Items (1)

Cayley and Langlands type correspondences for orthogonal Higgs bundles

Cites Work

• Real structures on moduli spaces of Higgs bundles
• Stable bundles and integrable systems
• Rank two quadratic pairs and surface group representations
• Electric-magnetic duality and the geometric Langlands program
• Lie groups and Teichmüller space
• Higgs bundles and the real symplectic group
• The Self-Duality Equations on a Riemann Surface
• Spectral curves and the generalised theta divisor.
• Monodromy of rank 2 twisted Hitchin systems and real character varieties
• MONODROMY OF THE SL₂ HITCHIN FIBRATION
• Spectral Data for U(m,m)-Higgs Bundles
• LANGLANDS DUALITY AND G2 SPECTRAL CURVES
• Riemann surfaces and spin structures
• Components of spaces of representations and stable triples.

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