Parabolic Higgs bundles and Teichmüller spaces for punctured surfaces

DOI10.1090/S0002-9947-97-01870-9zbMath0964.32011arXivalg-geom/9510011OpenAlexW1654477323MaRDI QIDQ3127266

Suresh Govindarajan, Indranil Biswas, Pablo Arés-Gastesi

Publication date: 8 April 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9510011

zbMATH Keywords

hermitian metricHiggs bundlesparabolic bundles

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Harmonic maps, etc. (58E20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Birational geometry (14E99)

Related Items

From Hyperbolic Dehn Filling to Surgeries in Representation Varieties ⋮ Topological invariants of parabolic \(G\)-Higgs bundles ⋮ Parameterizing Hitchin components ⋮ Analytic convergence of harmonic metrics for parabolic Higgs bundles ⋮ Moduli spaces of local systems and higher Teichmüller theory ⋮ Anosov flows, surface groups and curves in projective space ⋮ Orbifold projective structures, differential operators, and logarithmic connections on a pointed Riemann surface ⋮ Model Higgs bundles in exceptional components of the Sp(4, ℝ)-character variety ⋮ Matrix string theory and its moduli space ⋮ Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group ⋮ Uniformization of branched surfaces and Higgs bundles

Cites Work

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• Flat G-bundles with canonical metrics
• Moduli of vector bundles on curves with parabolic structures
• Lie groups and Teichmüller space
• Parabolic ample bundles
• Harmonic Bundles on Noncompact Curves
• The Self-Duality Equations on a Riemann Surface
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization