Critical loci for Higgs bundles

DOI10.1007/s00220-019-03336-4zbMath1409.14061arXiv1712.09928OpenAlexW2963997455WikidataQ128375106 ScholiaQ128375106MaRDI QIDQ1731127

Nigel J. Hitchin

Publication date: 20 March 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09928

zbMATH Keywords

moduli spaceHiggs bundlesHitchin fibrationHitchin integrable systemcritical loci

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60)

Related Items

Very stable Higgs bundles, equivariant multiplicity and mirror symmetry, On the connected components of the moduli space of equivariant minimal surfaces in \(\mathbb{CH}^2\), sl(2)$\mathfrak {sl}(2)$‐Type singular fibres of the symplectic and odd orthogonal Hitchin system, Unramified covers and branes on the Hitchin system, Integrable systems and special Kähler metrics, Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers, The nilpotent cone in the Mukai system of rank two and genus two

Cites Work

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• Compactified Jacobians and Torelli map
• Stable bundles and integrable systems
• On the Hitchin system
• Electric-magnetic duality and the geometric Langlands program
• Self-duality of the \(SL_2\) Hitchin integrable system at genus 2
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Action-angle coordinates at singularities for analytic integrable systems
• Quantization via mirror symmetry
• Tangent vectors to Hecke curves on the moduli space of rank 2 bundles over an algebraic curve
• On the discriminant locus of a Lagrangian fibration
• Moduli of vector bundles on a compact Riemann surface
• Moduli Space of Semistable Pairs on a Curve
• The Self-Duality Equations on a Riemann Surface
• Spectral curves and the generalised theta divisor.
• Sur Certains Systemes Dynamiques Separables
• An Infinitesimal Study of the Moduli of Hitchin Pairs
• Hitchin Hamiltonians in Genus 2
• Hecke curves and Hitchin discriminant
• Singular Bohr–Sommerfeld rules for 2D integrable systems
• Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles
• Remarks on Nahm’s equations
• The Singular Fiber of the Hitchin Map