Special Kähler geometry on the moduli spaces of Higgs bundles

DOI10.1016/j.topol.2020.107493zbMath1470.53062OpenAlexW3117107359MaRDI QIDQ820625

Zhenxi Huang

Publication date: 27 September 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107493

zbMATH Keywords

Higgs bundlesHitchin systemtopological recursionspecial Kähler geometry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Moduli problems for differential geometric structures (58D27) Algebraic moduli problems, moduli of vector bundles (14D20) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60) Relationships between algebraic curves and physics (14H81)

Cites Work

• Stable bundles and integrable systems
• Donagi-Markman cubic Hitchin systems
• Invariants of algebraic curves and topological expansion
• Special Kähler manifolds
• The moduli space of complex Lagrangian submanifolds
• Supersymmetric Yang-Mills theory and integrable systems
• The Self-Duality Equations on a Riemann Surface
• Spectral curves and the generalised theta divisor.
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
• Four-dimensional wall-crossing via three-dimensional field theory

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