Integrable systems and special Kähler metrics

DOI10.4171/EMSS/46zbMath1470.14066arXiv1910.05170OpenAlexW3196331016MaRDI QIDQ1983979

Nigel J. Hitchin

Publication date: 13 September 2021

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05170

zbMATH Keywords

integrable systemHiggs bundlespecial Kähler

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60)

Cites Work

• Special Kähler manifolds
• The moduli space of complex Lagrangian submanifolds
• Critical loci for Higgs bundles
• Asymptotic geometry of the Hitchin metric
• Exponential decay for the asymptotic geometry of the Hitchin metric
• Unramified covers and branes on the Hitchin system
• Special Kähler geometry of the Hitchin system and topological recursion
• Classification of the automorphism and isometry groups of Higgs bundle moduli spaces
• Spectral curves and the generalised theta divisor.
• Unnamed Item

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