METRICS AND SPECIAL KÄHLER GEOMETRY ON THE MODULI SPACES OF HIGGS BUNDLES AND HITCHIN SYSTEMS

DOI10.1017/S0004972718001405zbMath1409.53003OpenAlexW2909609650MaRDI QIDQ4627579

Zhenxi Huang

Publication date: 11 March 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972718001405

zbMATH Keywords

topological recursionspecial Kähler geometryHitchin systems

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Symplectic structures of moduli spaces (53D30) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Generalized geometries (à la Hitchin) (53D18)

Cites Work

• Unnamed Item
• Stable bundles and integrable systems
• Invariants of algebraic curves and topological expansion
• Special Kähler manifolds
• The moduli space of complex Lagrangian submanifolds
• Wall-crossing, Hitchin systems, and the WKB approximation
• Special Kähler geometry of the Hitchin system and topological recursion
• The Self-Duality Equations on a Riemann Surface
• A short overview of the "Topological recursion"

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