The moduli of flat PU(2,1) structures on Riemann surfaces

DOI10.2140/pjm.2000.195.231zbMath1014.32010OpenAlexW1885248696MaRDI QIDQ1587564

Eugene Z. Xia

Publication date: 3 December 2000

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

Full work available at URL: https://doi.org/10.2140/pjm.2000.195.231

zbMATH Keywords

moduli spaceRiemann surfaceflat \(PU(p,q)\)-connections

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Vector bundles on curves and their moduli (14H60)

Related Items (9)

Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces ⋮ Maximal representations of cocompact complex hyperbolic lattices, a uniform approach ⋮ Minimal Lagrangian surfaces in \(\mathbb{CH}^2\) and representations of surface groups into \(SU(2,1)\) ⋮ Orbifolds and orbibundles in complex hyperbolic geometry ⋮ Toledo invariant of lattices in SU(2,1) via symmetric square ⋮ Discrete subgroups of \(\mathrm{PU}(2,1)\) generated by \(n\) complex reflections and deformation. ⋮ Representations of complex hyperbolic lattices into rank 2 classical Lie groups of Hermitian type ⋮ Surface groups are frequently faithful ⋮ Toledo invariants of 2-orbifolds and Higgs bundles on elliptic surfaces

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