PROJECTIVE STRUCTURES AND HIGGS BUNDLES ON SURFACES

DOI10.1142/S021988781100518XzbMath1226.14044MaRDI QIDQ3007739

Indranil Biswas, Jacques Hurtubise

Publication date: 17 June 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Higgs bundlesSurfacesYang-Mills-Higgs equationsProjective structures

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Complex-analytic moduli problems (32G13) General geometric structures on low-dimensional manifolds (57M50) Vector bundles on curves and their moduli (14H60)

Cites Work

• On the symplectic form of the moduli space of projective structures
• The symplectic nature of fundamental groups of surfaces
• Higgs bundles and local systems
• Monodromy groups and linearly polymorphic functions
• The monodromy groups of Schwarzian equations on closed Riemann surfaces
• Special coordinate coverings of Riemann surfaces
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• Surfaces Convexes Dans L'espace Hyperbolique et CP ¹ Structures
• The Yang-Mills equations over Riemann surfaces
• Harmonic Mappings of Riemannian Manifolds