AdS 3-manifolds and Higgs bundles

DOI10.1090/proc/13586zbMath1433.53037arXiv1510.07745OpenAlexW2963356782MaRDI QIDQ4596012

Qiongling Li, Daniele Alessandrini

Publication date: 8 December 2017

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

Full work available at URL: https://arxiv.org/abs/1510.07745

zbMATH Keywords

3-manifoldHiggs bundle

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Harmonic maps, etc. (58E20) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (7)

Studying deformations of Fuchsian representations with Higgs bundles ⋮ Almost strict domination and anti‐de Sitter 3‐manifolds ⋮ Infinite energy equivariant harmonic maps, domination, and anti-de Sitter \(3\)-manifolds ⋮ The Volume of complete anti-de Sitter 3-manifolds ⋮ The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\) ⋮ Anti-de Sitter Geometry and Teichmüller Theory ⋮ The moduli spaces of equivariant minimal surfaces in \({\mathbb {RH}}^3\) and \(\mathbb {RH}^4\) via Higgs bundles

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