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Harmonic gauges on Riemann surfaces and stable bundles

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Publication:1124185
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DOI10.1016/S0294-1449(16)30324-9zbMath0678.58017OpenAlexW1489321358MaRDI QIDQ1124185

Giorgio Valli

Publication date: 1989

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1989__6_3_233_0


zbMATH Keywords

harmonic mapsemistable vector bundleUhlenbeck loop


Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Curves in algebraic geometry (14H99)


Related Items

GEOMETRY OF THE MODULI SPACES OF HARMONIC MAPS INTO LIE GROUPS VIA GAUGE THEORY OVER RIEMANN SURFACES ⋮ Group actions, gauge transformations, and the calculus of variations



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Stable bundles and integrable systems
  • Some remarks on geodesics in gauge groups and harmonic maps
  • On the energy spectrum of harmonic 2-spheres in unitary groups
  • A new proof of a theorem of Narasimhan and Seshadri
  • Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
  • On Pluriharmonicity of Stable Harmonic Maps
  • The Self-Duality Equations on a Riemann Surface
  • The Yang-Mills equations over Riemann surfaces
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