Character varieties of virtually nilpotent Kähler groups and \(G\)-Higgs bundles

DOI10.5802/aif.2997zbMath1334.14026arXiv1405.0610OpenAlexW2267719752MaRDI QIDQ5962652

Carlos A. A. Florentino, Indranil Biswas

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0610

zbMATH Keywords

\(G\)-Higgs bundlescharacter varietynon-abelian Hodge theoryvirtually nilpotent Kähler groups

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (2)

Rigidity of maximal holomorphic representations of Kähler groups ⋮ Flawed groups and the topology of character varieties

Cites Work

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• Commuting tuples in reductive groups and their maximal compact subgroups.
• The topology of moduli spaces of group representations: the case of compact surface
• Varieties of group representations and splittings of 3-manifolds
• The topology of moduli spaces of free group representations
• The Bieri-Neumann-Strebel invariant of fundamental groups of Kähler manifolds
• Infinite determinants, stable bundles and curvature
• Higgs bundles and local systems
• Topology of character varieties of abelian groups
• The topology of nilpotent representations in reductive groups and their maximal compact subgroups.
• Commuting elements in reductive groups and Higgs bundles on abelian varieties
• Connections and Higgs fields on a principal bundle
• Stable and unitary vector bundles on a compact Riemann surface
• Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
• Einstein-Hermitian connections on polystable principal bundles over a compact Kahler manifold
• Character Varieties and Moduli of Quiver Representations
• The Self-Duality Equations on a Riemann Surface
• On the existence of hermitian-yang-mills connections in stable vector bundles
• HIGGS BUNDLES OVER ELLIPTIC CURVES FOR COMPLEX REDUCTIVE GROUPS

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