GEOMETRY OF THE MODULI SPACES OF HARMONIC MAPS INTO LIE GROUPS VIA GAUGE THEORY OVER RIEMANN SURFACES

DOI10.1142/S0129167X01000733zbMath1111.58300WikidataQ115246547 ScholiaQ115246547MaRDI QIDQ4807345

Mariko Mukai-Hidano, Yoshihiro Ohnita

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

moduli spacesharmonic mapsgauge-theoretic equations

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Symplectic structures of moduli spaces (53D30)

Cites Work

• Automorphisms and conjugate connections
• Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras
• Hyperkähler metrics and supersymmetry
• Some remarks on geodesics in gauge groups and harmonic maps
• Flat G-bundles with canonical metrics
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Harmonic gauges on Riemann surfaces and stable bundles
• The existence of minimal immersions of 2-spheres
• Lie groups and Teichmüller space
• Group actions and deformations for harmonic maps
• Conjugate connections and moduli spaces of connections
• Harmonic two-spheres in compact symmetric spaces, revisited
• POISSON BRACKETS ON PRESYMPLECTIC MANIFOLDS
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• The Yang-Mills equations over Riemann surfaces

This page was built for publication: GEOMETRY OF THE MODULI SPACES OF HARMONIC MAPS INTO LIE GROUPS VIA GAUGE THEORY OVER RIEMANN SURFACES