Maximal \(\mathsf{Sp}(4,\mathbb R)\) surface group representations, minimal immersions and cyclic surfaces

DOI10.1007/s10711-015-0101-9zbMath1338.14038arXiv1503.03526OpenAlexW2184492548MaRDI QIDQ2634857

Brian Collier

Publication date: 10 February 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03526

zbMATH Keywords

harmonic mapsmapping class groupHiggs bundlescharacter varietymaximal representation

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relationships between algebraic curves and integrable systems (14H70) Harmonic maps, etc. (58E20)

Related Items (12)

Studying deformations of Fuchsian representations with Higgs bundles ⋮ Working session: Higher rank Teichmüller theory. Abstracts from the working session held October 9--14, 2022 ⋮ Boundary of the Gothen components ⋮ Domination results in n$n$‐Fuchsian fibers in the moduli space of Higgs bundles ⋮ Cyclic Higgs bundles and minimal surfaces in pseudo-hyperbolic spaces ⋮ Singular geometry and Higgs bundles in string theory ⋮ The geometry of maximal components of the \(\mathsf{PSp}(4, \mathbb{R})\) character variety ⋮ The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\) ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Model Higgs bundles in exceptional components of the Sp(4, ℝ)-character variety ⋮ On cyclic Higgs bundles ⋮ The moduli spaces of equivariant minimal surfaces in \({\mathbb {RH}}^3\) and \(\mathbb {RH}^4\) via Higgs bundles

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