Unitarization of Loop Group Representations of Fundamental Groups

DOI10.1017/S0027763000025824zbMath1135.22020OpenAlexW1793567446MaRDI QIDQ5440808

Hongyou Wu, Josef F. Dorfmeister

Publication date: 5 February 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000025824

zbMATH Keywords

Riemann surfaceloop groupsWiener algebraBirkhoff decompositionconstant mean curvature surfacesclosing condition

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Loop groups and related constructions, group-theoretic treatment (22E67) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05)

Related Items (3)

A spectral curve approach to Lawson symmetric CMC surfaces of genus 2 ⋮ Unnamed Item ⋮ TOTALLY SYMMETRIC SURFACES OF CONSTANT MEAN CURVATURE IN HYPERBOLIC 3-SPACE

Cites Work

• Topological components of spaces of representations
• Weierstrass type representation of harmonic maps into symmetric spaces
• On constant mean curvature surfaces with periodic metric
• Construction of non-simply connected CMC surfaces via dressing.
• On the existence of unitary flat connections over the punctured sphere with given local monodromy around the punctures

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